(0) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

i(i(realu_div, i(realu_abs, i(i(realu_add, i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, d), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(i(realu_add, i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, d), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))))), i(i(realu_sub, i(i(realu_sub, i(i(realu_sub, i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, d), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, d), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, d), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, d), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))))))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, i(BIT1, u_0)))))) → i(measure, i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), i(i(INSERT, d), EMPTY))))))
i(i(realu_add, i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))))), i(i(realu_add, i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))))), i(i(realu_sub, i(i(realu_sub, i(i(realu_sub, i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))))))) → i(det, A)
i(i(s_b_, i(i(a_, i(i(realu_add, i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(b_s_, i(i(s_b_, i(i(a_, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(a_, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(realu_neg, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0))))))), i(i(s_b_, i(i(a_, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(realu_neg, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(a_, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0))))))) → i(orthogonalu_matrix, A)
i(i(s_b_, i(i(a_, i(i(realu_add, i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(a_, i(i(realu_add, i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(a_, i(i(realu_add, i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(realu_ofu_num, i(NUMERAL, u_0))))) → i(orthogonalu_matrix, A)
i(vector, i(i(CONS, i(i(realu_sub, i(i(realu_mul, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(i(realu_mul, i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(CONS, i(i(realu_sub, i(i(realu_mul, i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))))), i(i(CONS, i(i(realu_sub, i(i(realu_mul, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_mul, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))))), NIL)))) → i(i(cross, a), b)
i(i(i(COND, i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(openu_interval, i(i(c_, a), b)))
i(i(i(COND, i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(i(COND, i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(volu_rect, a), b)
i(i(i(COND, i(i(s_b_, i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(openu_interval, i(i(c_, a), b)))
i(i(i(COND, i(i(s_b_, i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(s_b_, i(i(a_, i(i(realu_add, i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(a_, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(a_, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(realu_neg, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0))))))) → i(rotationu_matrix, A)
i(i(s_b_, i(i(realu_le, i(realu_abs, i(i(d_, x), i(NUMERAL, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(realu_le, i(realu_abs, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(b_s_, i(i(a_, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), i(i(b_s_, i(i(a_, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(b_s_, i(i(a_, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), i(i(a_, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))))))) → i(i(a_, i(infnorm, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(realu_add, i(i(realu_mul, x1), i(i(realu_mul, x4), i(i(realu_add, i(realu_neg, x1)), i(i(realu_add, x2), i(i(realu_add, i(i(realu_sub, x3), x4)), i(i(realu_add, x5), x6))))))), i(i(realu_add, i(i(realu_mul, x2), i(i(realu_mul, x5), i(i(realu_add, i(i(realu_sub, x1), x2)), i(i(realu_add, x3), i(i(realu_add, i(i(realu_sub, x4), x5)), x6)))))), i(i(realu_sub, i(i(realu_sub, i(i(realu_sub, i(i(realu_sub, i(i(realu_mul, x3), i(i(realu_mul, x6), i(i(realu_add, x1), i(i(realu_add, i(i(realu_sub, x2), x3)), i(i(realu_add, x4), i(i(realu_sub, x5), x6))))))), i(i(realu_mul, x2), i(i(realu_mul, x3), x4)))), i(i(realu_mul, x1), i(i(realu_mul, x3), x5)))), i(i(realu_mul, x1), i(i(realu_mul, x2), x6)))), i(i(realu_mul, x4), i(i(realu_mul, x5), x6))))) → i(i(i(i(i(i(deltau_x, x1), x2), x3), x4), x5), x6)
i(i(i(COND, i(i(a_, i(Im, z)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(i(COND, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Re, z))), i(complex, i(i(c_, i(sqrt, i(Re, z))), i(realu_ofu_num, i(NUMERAL, u_0))))), i(complex, i(i(c_, i(realu_ofu_num, i(NUMERAL, u_0))), i(sqrt, i(realu_neg, i(Re, z))))))), i(complex, i(i(c_, i(sqrt, i(i(realu_div, i(i(realu_add, i(vectoru_norm, z)), i(Re, z))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(realu_div, i(Im, z)), i(realu_abs, i(Im, z)))), i(sqrt, i(i(realu_div, i(i(realu_sub, i(vectoru_norm, z)), i(Re, z))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))))) → i(csqrt, z)
i(i(realu_div, i(sqrt, i(i(i(i(i(i(deltau_x, i(i(realu_pow, i(distance, i(i(c_, x1), x2))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(distance, i(i(c_, x1), x3))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(distance, i(i(c_, x1), x4))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(distance, i(i(c_, x3), x4))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(distance, i(i(c_, x2), x4))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(distance, i(i(c_, x2), x3))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT0, i(BIT1, i(BIT1, u_0))))))) → i(measure, i(i(hull, convex), i(i(INSERT, x1), i(i(INSERT, x2), i(i(INSERT, x3), i(i(INSERT, x4), EMPTY))))))
i(i(s_b_, i(i(differentiable, f), i(at, z))), i(i(s_b_, i(i(a_, i(i(d_, i(i(d_, i(i(jacobian, f), i(at, z))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, i(i(jacobian, f), i(at, z))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(a_, i(i(d_, i(i(d_, i(i(jacobian, f), i(at, z))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(realu_neg, i(i(d_, i(i(d_, i(i(jacobian, f), i(at, z))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0))))))) → i(i(complexu_differentiable, f), i(at, z))
i(i(s_b_, i(i(a_, i(i(dot, e1), e1)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(a_, i(i(dot, e2), e2)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(a_, i(i(dot, e3), e3)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(s_b_, i(i(a_, i(i(dot, e1), e2)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(s_b_, i(i(a_, i(i(dot, e1), e3)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(s_b_, i(i(a_, i(i(dot, e2), e3)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(dot, i(i(cross, e1), e2)), e3)))))))) → i(i(i(orthonormal, e1), e2), e3)
i(i(realu_add, i(i(realu_mul, i(det, i(vector, i(i(CONS, y1), i(i(CONS, x2), i(i(CONS, x3), NIL)))))), i(det, i(vector, i(i(CONS, x1), i(i(CONS, y2), i(i(CONS, y3), NIL))))))), i(i(realu_add, i(i(realu_mul, i(det, i(vector, i(i(CONS, y2), i(i(CONS, x2), i(i(CONS, x3), NIL)))))), i(det, i(vector, i(i(CONS, y1), i(i(CONS, x1), i(i(CONS, y3), NIL))))))), i(i(realu_mul, i(det, i(vector, i(i(CONS, y3), i(i(CONS, x2), i(i(CONS, x3), NIL)))))), i(det, i(vector, i(i(CONS, y1), i(i(CONS, y2), i(i(CONS, x1), NIL)))))))) → i(i(realu_mul, i(det, i(vector, i(i(CONS, x1), i(i(CONS, x2), i(i(CONS, x3), NIL)))))), i(det, i(vector, i(i(CONS, y1), i(i(CONS, y2), i(i(CONS, y3), NIL))))))
i(i(realu_div, i(realu_abs, i(i(realu_sub, i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_sub, i(i(d_, c), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(measure, i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY)))))
i(i(i(COND, i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(openu_interval, i(i(c_, a), b)))
i(i(i(COND, i(i(s_b_, i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_lt, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(i(COND, i(i(s_b_, i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(openu_interval, i(i(c_, a), b)))
i(i(i(COND, i(i(s_b_, i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, b), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_le, i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, a), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, b), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, a), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(a_, i(i(realu_mul, i(i(realu_sub, i(i(d_, z), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, x), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, y), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_mul, i(i(realu_sub, i(i(d_, y), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, x), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_sub, i(i(d_, z), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(collinear, i(i(INSERT, x), i(i(INSERT, y), i(i(INSERT, z), EMPTY))))
i(i(realu_sub, i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_mul, i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0))))) → i(det, A)
i(i(realu_sub, i(i(realu_add, i(i(realu_pow, i(distance, i(i(c_, A), B))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(distance, i(i(c_, A), C))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(distance, i(i(c_, A), B))), i(i(realu_mul, i(distance, i(i(c_, A), C))), i(cos, i(angle, i(i(c_, B), i(i(c_, A), C)))))))) → i(i(realu_pow, i(distance, i(i(c_, B), C))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(vector, i(i(CONS, i(i(realu_mul, i(i(d_, t), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, u), i(NUMERAL, i(BIT1, u_0))))), i(i(CONS, i(i(realu_mul, i(i(d_, t), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, u), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(CONS, i(i(realu_mul, i(i(d_, t), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, u), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), NIL)))) → i(i(scale, t), u)
i(vector, i(i(CONS, i(i(realu_sub, i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(cos, t))), i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(sin, t)))), i(i(CONS, i(i(realu_add, i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(sin, t))), i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(cos, t)))), NIL))) → i(i(rotate2d, t), x)
i(i(i(COND, i(i(b_s_, i(i(a_, a), b)), i(i(a_, c), b))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(sqrt, i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_pow, i(i(realu_div, i(i(dot, i(i(vectoru_sub, a), b)), i(i(vectoru_sub, c), b))), i(i(realu_mul, i(vectoru_norm, i(i(vectoru_sub, a), b))), i(vectoru_norm, i(i(vectoru_sub, c), b))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(sin, i(angle, i(i(c_, a), i(i(c_, b), c))))
i(complex, i(i(c_, i(i(realu_div, i(Re, z)), i(i(realu_add, i(i(realu_pow, i(Re, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(Im, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(realu_div, i(realu_neg, i(Im, z))), i(i(realu_add, i(i(realu_pow, i(Re, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(Im, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))) → i(complexu_inv, z)
i(i(realu_add, i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, y), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_add, i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, y), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(d_, y), i(NUMERAL, i(BIT1, i(BIT1, u_0))))))) → i(i(dot, x), y)
i(i(s_b_, i(w_, i(i(a_, A), B))), i(i(s_b_, i(w_, i(i(a_, C), B))), i(i(b_s_, i(i(a_, i(distance, i(i(c_, A), B))), i(i(realu_add, i(distance, i(i(c_, A), C))), i(distance, i(i(c_, C), B))))), i(i(a_, i(distance, i(i(c_, B), C))), i(i(realu_add, i(distance, i(i(c_, A), C))), i(distance, i(i(c_, A), B))))))) → i(i(a_, i(angle, i(i(c_, A), i(i(c_, B), C)))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(i(COND, i(i(b_s_, i(i(a_, a), b)), i(i(a_, c), b))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_pow, i(i(realu_div, i(i(dot, i(i(vectoru_sub, a), b)), i(i(vectoru_sub, c), b))), i(i(realu_mul, i(vectoru_norm, i(i(vectoru_sub, a), b))), i(vectoru_norm, i(i(vectoru_sub, c), b))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_pow, i(sin, i(angle, i(i(c_, a), i(i(c_, b), c))))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(i(i(COND, i(i(b_s_, i(i(a_, x), i(vec, i(NUMERAL, u_0)))), i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(sqrt, i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_pow, i(i(realu_div, i(i(dot, x), y)), i(i(realu_mul, i(vectoru_norm, x)), i(vectoru_norm, y)))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(sin, i(i(vectoru_angle, x), y))
i(i(i(COND, i(i(a_, k), i(i(p_, n), i(NUMERAL, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_mul, i(i(realu_div, i(i(realu_add, i(realu_ofu_num, n)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(realu_add, i(realu_ofu_num, n)), i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_ofu_num, k))))), i(realu_ofu_num, i(binom, i(i(c_, n), k))))) → i(realu_ofu_num, i(binom, i(i(c_, i(i(p_, n), i(NUMERAL, i(BIT1, u_0)))), k)))
i(i(i(COND, i(i(b_s_, i(i(a_, x), i(vec, i(NUMERAL, u_0)))), i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_pow, i(i(realu_div, i(i(dot, x), y)), i(i(realu_mul, i(vectoru_norm, x)), i(vectoru_norm, y)))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_pow, i(sin, i(i(vectoru_angle, x), y))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(i(b_s_, i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(b_s_, i(i(a_, y), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(b_s_, i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), x)), i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), y))), i(i(s_b_, i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(realu_lt, y), i(realu_ofu_num, i(NUMERAL, u_0))))))) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_mul, x), y))
i(i(b_s_, i(i(a_, x), i(intu_ofu_num, i(NUMERAL, u_0)))), i(i(b_s_, i(i(a_, y), i(intu_ofu_num, i(NUMERAL, u_0)))), i(i(b_s_, i(i(s_b_, i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), x)), i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), y))), i(i(s_b_, i(i(intu_lt, x), i(intu_ofu_num, i(NUMERAL, u_0)))), i(i(intu_lt, y), i(intu_ofu_num, i(NUMERAL, u_0))))))) → i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), i(i(intu_mul, x), y))
i(i(realu_mul, i(i(i(i(azim, v0), v1), v2), v3)), i(i(realu_mul, i(i(realu_pow, h), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(realu_div, i(i(realu_sub, i(i(realu_div, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_mul, a), a))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, i(BIT1, u_0)))))))) → i(i(i(i(i(i(volu_frusttu_wedge, v0), v1), v2), v3), h), a)
i(i(realu_div, i(i(realu_sub, i(i(realu_add, i(i(realu_pow, i(vectoru_norm, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(vectoru_norm, y)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_pow, i(vectoru_norm, i(i(vectoru_sub, x), y))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(dot, x), y)
i(i(realu_div, i(i(realu_sub, i(i(realu_sub, i(i(realu_pow, i(vectoru_norm, i(i(vectoru_add, x), y))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(vectoru_norm, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_pow, i(vectoru_norm, y)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(dot, x), y)
i(i(realu_add, i(i(realu_mul, i(det, i(vector, i(i(CONS, y1), i(i(CONS, x2), NIL))))), i(det, i(vector, i(i(CONS, x1), i(i(CONS, y2), NIL)))))), i(i(realu_mul, i(det, i(vector, i(i(CONS, y2), i(i(CONS, x2), NIL))))), i(det, i(vector, i(i(CONS, y1), i(i(CONS, x1), NIL)))))) → i(i(realu_mul, i(det, i(vector, i(i(CONS, x1), i(i(CONS, x2), NIL))))), i(det, i(vector, i(i(CONS, y1), i(i(CONS, y2), NIL)))))
i(i(INTER, i(i(hull, affine), i(i(INSERT, a), i(i(INSERT, b), EMPTY)))), i(ball, i(i(c_, i(i(r_, i(realu_inv, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(vectoru_add, a), b))), i(i(realu_div, i(vectoru_norm, i(i(vectoru_sub, b), a))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))) → i(openu_segment, i(i(c_, a), b))
i(i(INTER, i(i(hull, affine), i(i(INSERT, a), i(i(INSERT, b), EMPTY)))), i(cball, i(i(c_, i(i(r_, i(realu_inv, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(vectoru_add, a), b))), i(i(realu_div, i(vectoru_norm, i(i(vectoru_sub, b), a))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))) → i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(complexu_mul, i(csin, i(i(complexu_div, i(i(vectoru_sub, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))), i(ccos, i(i(complexu_div, i(i(vectoru_add, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))))) → i(i(vectoru_sub, i(csin, w)), i(csin, z))
i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(complexu_mul, i(csin, i(i(complexu_div, i(i(vectoru_add, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))), i(ccos, i(i(complexu_div, i(i(vectoru_sub, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))))) → i(i(vectoru_add, i(csin, w)), i(csin, z))
i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(complexu_mul, i(csin, i(i(complexu_div, i(i(vectoru_add, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))), i(csin, i(i(complexu_div, i(i(vectoru_sub, z), w)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))))) → i(i(vectoru_sub, i(ccos, w)), i(ccos, z))
i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(complexu_mul, i(ccos, i(i(complexu_div, i(i(vectoru_add, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))), i(ccos, i(i(complexu_div, i(i(vectoru_sub, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))))) → i(i(vectoru_add, i(ccos, w)), i(ccos, z))
i(i(DIFF, i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY))))), i(i(UNION, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(i(UNION, i(closedu_segment, i(i(CONS, i(i(c_, b), c)), NIL))), i(closedu_segment, i(i(CONS, i(i(c_, c), a)), NIL))))) → i(interior, i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY)))))
i(i(complexu_mul, i(i(complexu_div, ii), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(clog, i(i(complexu_div, i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_mul, ii), z))), i(i(vectoru_add, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_mul, ii), z))))) → i(catn, z)
i(i(i(COND, i(i(b_s_, i(i(a_, x), i(vec, i(NUMERAL, u_0)))), i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(acs, i(i(realu_div, i(i(dot, x), y)), i(i(realu_mul, i(vectoru_norm, x)), i(vectoru_norm, y))))) → i(i(vectoru_angle, x), y)
i(i(b_s_, i(i(a_, i(angle, i(i(c_, A), i(i(c_, B), C)))), i(angle, i(i(c_, Ai_), i(i(c_, Bi_), Ci_))))), i(i(a_, i(angle, i(i(c_, A), i(i(c_, B), C)))), i(i(realu_sub, pi), i(angle, i(i(c_, Ai_), i(i(c_, Bi_), Ci_)))))) → i(i(a_, i(sin, i(angle, i(i(c_, A), i(i(c_, B), C))))), i(sin, i(angle, i(i(c_, Ai_), i(i(c_, Bi_), Ci_)))))
i(i(i(COND, i(i(b_s_, i(i(a_, a), b)), i(i(a_, c), b))), i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_div, i(i(dot, i(i(vectoru_sub, a), b)), i(i(vectoru_sub, c), b))), i(i(realu_mul, i(vectoru_norm, i(i(vectoru_sub, a), b))), i(vectoru_norm, i(i(vectoru_sub, c), b))))) → i(cos, i(angle, i(i(c_, a), i(i(c_, b), c))))
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(sin, i(i(realu_div, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(cos, i(i(realu_div, i(i(realu_sub, x), y)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))) → i(i(realu_add, i(sin, x)), i(sin, y))
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(sin, i(i(realu_div, i(i(realu_sub, x), y)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(cos, i(i(realu_div, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))) → i(i(realu_sub, i(sin, x)), i(sin, y))
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(cos, i(i(realu_div, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(cos, i(i(realu_div, i(i(realu_sub, x), y)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))) → i(i(realu_add, i(cos, x)), i(cos, y))
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(sin, i(i(realu_div, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(sin, i(i(realu_div, i(i(realu_sub, y), x)), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))) → i(i(realu_sub, i(cos, x)), i(cos, y))
i(i(s_b_, i(w_, i(i(a_, x), i(vec, i(NUMERAL, u_0))))), i(i(s_b_, i(w_, i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(i(a_, i(i(vectoru_add, i(i(r_, i(vectoru_norm, x)), y)), i(i(r_, i(vectoru_norm, y)), x))), i(vec, i(NUMERAL, u_0))))) → i(i(a_, i(i(vectoru_angle, x), y)), pi)
i(i(i(COND, i(i(a_, a), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(i(COND, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), a)), i(i(vectoru_angle, x), y)), i(i(realu_sub, pi), i(i(vectoru_angle, x), y)))) → i(i(vectoru_angle, i(i(r_, a), x)), y)
i(i(i(COND, i(i(a_, a), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(i(COND, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), a)), i(i(vectoru_angle, x), y)), i(i(realu_sub, pi), i(i(vectoru_angle, x), y)))) → i(i(vectoru_angle, x), i(i(r_, a), y))
i(i(i(COND, i(i(realu_lt, i(i(realu_add, i(frac, x)), i(frac, y))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(realu_add, i(frac, x)), i(frac, y))), i(i(realu_sub, i(i(realu_add, i(frac, x)), i(frac, y))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(frac, i(i(realu_add, x), y))
i(i(i(COND, i(i(realu_lt, i(i(realu_add, i(frac, x)), i(frac, y))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(realu_add, i(floor, x)), i(floor, y))), i(i(realu_add, i(i(realu_add, i(floor, x)), i(floor, y))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(floor, i(i(realu_add, x), y))
i(i(s_b_, i(i(a_, i(Im, x)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(b_s_, i(i(s_b_, i(i(realu_le, a), i(Re, x))), i(i(realu_le, i(Re, x)), b))), i(i(s_b_, i(i(realu_le, b), i(Re, x))), i(i(realu_le, i(Re, x)), a)))) → i(i(IN, x), i(closedu_segment, i(i(CONS, i(i(c_, i(Cx, a)), i(Cx, b))), NIL)))
i(i(b_s_, i(i(s_b_, i(i(l_a_, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), x)), i(i(l_, m), n))), i(i(s_b_, i(i(a_, x), i(NUMERAL, u_0))), i(i(s_b_, i(w_, i(i(a_, m), i(NUMERAL, u_0)))), i(i(a_, n), i(NUMERAL, u_0))))) → i(i(l_, i(i(EXP, x), m)), i(i(EXP, x), n))
i(i(realu_add, i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, y), i(NUMERAL, i(BIT1, u_0))))), i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(d_, y), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(dot, x), y)
i(i(b_s_, i(i(s_b_, i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), EMPTY)), i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, c), d)), NIL))), EMPTY))), i(i(s_b_, i(i(a_, a), c)), i(i(a_, b), d))) → i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_interval, i(i(CONS, i(i(c_, c), d)), NIL)))
i(i(realu_mul, i(i(i(i(azim, v0), v1), v2), v3)), i(i(realu_mul, i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), c)), i(i(realu_div, i(i(realu_pow, r), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, i(BIT1, u_0))))))) → i(i(i(i(i(i(volu_conicu_capu_wedge, v0), v1), v2), v3), r), c)
i(i(s_b_, i(w_, i(i(a_, A), B))), i(i(s_b_, i(w_, i(i(a_, C), B))), i(i(a_, i(distance, i(i(c_, A), C))), i(realu_abs, i(i(realu_sub, i(distance, i(i(c_, A), B))), i(distance, i(i(c_, C), B))))))) → i(i(a_, i(angle, i(i(c_, A), i(i(c_, B), C)))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(i(COND, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(i(COND, i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(realu_sgn, x)
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Re, i(i(complexu_div, i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_mul, ii), z))), i(i(vectoru_add, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_mul, ii), z))))) → i(i(realu_lt, i(vectoru_norm, z)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(i(COND, i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), x)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(i(COND, i(i(intu_lt, x), i(intu_ofu_num, i(NUMERAL, u_0)))), i(intu_neg, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(intu_ofu_num, i(NUMERAL, u_0)))) → i(intu_sgn, x)
i(complex, i(i(c_, i(i(realu_sub, i(i(realu_mul, i(Re, w)), i(Re, z))), i(i(realu_mul, i(Im, w)), i(Im, z)))), i(i(realu_add, i(i(realu_mul, i(Re, w)), i(Im, z))), i(i(realu_mul, i(Im, w)), i(Re, z))))) → i(i(complexu_mul, w), z)
i(i(s_b_, i(w_, i(i(a_, x), i(vec, i(NUMERAL, u_0))))), i(i(s_b_, i(w_, i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(i(a_, i(vectoru_norm, i(i(vectoru_sub, x), y))), i(i(realu_add, i(vectoru_norm, x)), i(vectoru_norm, y))))) → i(i(a_, i(i(vectoru_angle, x), y)), pi)
i(i(i(COND, i(i(b_s_, i(i(a_, x), i(vec, i(NUMERAL, u_0)))), i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_div, i(i(dot, x), y)), i(i(realu_mul, i(vectoru_norm, x)), i(vectoru_norm, y)))) → i(cos, i(i(vectoru_angle, x), y))
i(i(s_b_, i(w_, i(i(a_, x), i(vec, i(NUMERAL, u_0))))), i(i(s_b_, i(w_, i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(i(a_, i(vectoru_norm, i(i(vectoru_add, x), y))), i(i(realu_add, i(vectoru_norm, x)), i(vectoru_norm, y))))) → i(i(a_, i(i(vectoru_angle, x), y)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(Im, i(i(complexu_div, i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_mul, ii), z))), i(i(vectoru_add, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_mul, ii), z))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, i(Re, z)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(measure, i(i(INTER, i(ball, i(i(c_, i(vec, i(NUMERAL, u_0))), r))), i(i(affu_gt, i(i(INSERT, i(vec, i(NUMERAL, u_0))), EMPTY)), i(i(INSERT, i(vectoru_neg, v1)), i(i(INSERT, i(vectoru_neg, v2)), i(i(INSERT, i(vectoru_neg, v3)), EMPTY)))))) → i(measure, i(i(INTER, i(ball, i(i(c_, i(vec, i(NUMERAL, u_0))), r))), i(i(affu_gt, i(i(INSERT, i(vec, i(NUMERAL, u_0))), EMPTY)), i(i(INSERT, v1), i(i(INSERT, v2), i(i(INSERT, v3), EMPTY))))))
i(i(realu_mul, i(i(i(i(azim, v0), v1), v2), v3)), i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_div, i(i(realu_pow, r), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, i(BIT1, u_0))))))) → i(i(i(i(i(volu_ballu_wedge, v0), v1), v2), v3), r)
i(i(s_b_, i(w_, i(i(a_, A), B))), i(i(s_b_, i(w_, i(i(a_, C), B))), i(i(a_, i(distance, i(i(c_, A), C))), i(i(realu_add, i(distance, i(i(c_, A), B))), i(distance, i(i(c_, B), C)))))) → i(i(a_, i(angle, i(i(c_, A), i(i(c_, B), C)))), pi)
i(i(realu_sub, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT0, i(BIT1, u_0)))))), i(i(realu_pow, i(cos, x)), i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(cos, x))) → i(cos, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT1, i(BIT1, u_0))))), x))
i(i(b_s_, i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), x)), i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), y))), i(i(s_b_, i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(realu_lt, y), i(realu_ofu_num, i(NUMERAL, u_0))))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_mul, x), y))
i(i(s_b_, i(w_, i(i(a_, x), i(vec, i(NUMERAL, u_0))))), i(i(s_b_, i(w_, i(i(a_, y), i(vec, i(NUMERAL, u_0))))), i(i(a_, i(i(r_, i(vectoru_norm, x)), y)), i(i(r_, i(vectoru_norm, y)), x)))) → i(i(a_, i(i(vectoru_angle, x), y)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(b_s_, i(i(s_b_, i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), x)), i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), y))), i(i(s_b_, i(i(intu_lt, x), i(intu_ofu_num, i(NUMERAL, u_0)))), i(i(intu_lt, y), i(intu_ofu_num, i(NUMERAL, u_0))))) → i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), i(i(intu_mul, x), y))
i(i(vectoru_sub, i(i(r_, i(det, i(vector, i(i(CONS, w), i(i(CONS, x), i(i(CONS, z), NIL)))))), y)), i(i(r_, i(det, i(vector, i(i(CONS, w), i(i(CONS, x), i(i(CONS, y), NIL)))))), z)) → i(i(cross, i(i(cross, w), x)), i(i(cross, y), z))
i(i(b_s_, i(i(s_b_, i(i(realu_lt, i(drop, b)), i(drop, a))), i(i(realu_lt, i(drop, d)), i(drop, c)))), i(i(s_b_, i(i(a_, i(drop, a)), i(drop, c))), i(i(a_, i(drop, b)), i(drop, d)))) → i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_interval, i(i(CONS, i(i(c_, c), d)), NIL)))
i(i(s_b_, i(i(IN, x), i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL)))), i(i(s_b_, i(w_, i(i(a_, x), a))), i(i(s_b_, i(w_, i(i(a_, x), b))), i(w_, i(i(a_, a), b))))) → i(i(IN, x), i(openu_segment, i(i(c_, a), b)))
i(i(i(COND, i(i(a_, x), i(NUMERAL, u_0))), i(i(a_a_g_, i(i(a_, m), i(NUMERAL, u_0))), i(i(a_, n), i(NUMERAL, u_0)))), i(i(b_s_, i(i(a_, x), i(NUMERAL, i(BIT1, u_0)))), i(i(l_a_, m), n))) → i(i(l_a_, i(i(EXP, x), m)), i(i(EXP, x), n))
i(i(i(COND, i(i(a_, x), i(NUMERAL, u_0))), i(i(a_, i(i(a_, m), i(NUMERAL, u_0))), i(i(a_, n), i(NUMERAL, u_0)))), i(i(b_s_, i(i(a_, x), i(NUMERAL, i(BIT1, u_0)))), i(i(a_, m), n))) → i(i(a_, i(i(EXP, x), m)), i(i(EXP, x), n))
i(i(b_s_, i(i(s_b_, i(w_, i(i(IN, x), s0))), i(w_, i(i(IN, y), s0)))), i(i(s_b_, i(i(IN, x), s0)), i(i(s_b_, i(i(IN, y), s0)), i(i(i(connectedu_component, s0), x), y)))) → i(i(a_, i(i(connectedu_component, s0), x)), i(i(connectedu_component, s0), y))
i(i(complexu_mul, i(vectoru_neg, ii)), i(clog, i(i(vectoru_add, z), i(i(complexu_mul, ii), i(csqrt, i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_pow, z), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))))) → i(cacs, z)
i(i(complexu_mul, i(vectoru_neg, ii)), i(clog, i(i(vectoru_add, i(i(complexu_mul, ii), z)), i(csqrt, i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_pow, z), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))))) → i(casn, z)
i(vector, i(i(CONS, i(vector, i(i(CONS, i(cos, t)), i(i(CONS, i(realu_neg, i(sin, t))), NIL)))), i(i(CONS, i(vector, i(i(CONS, i(sin, t)), i(i(CONS, i(cos, t)), NIL)))), NIL))) → i(matrix, i(rotate2d, t))
i(i(realu_mul, i(i(realu_div, i(i(realu_add, i(realu_ofu_num, p)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(realu_add, i(realu_ofu_num, k)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), i(realu_ofu_num, i(binom, i(i(c_, p), k)))) → i(realu_ofu_num, i(binom, i(i(c_, i(i(p_, p), i(NUMERAL, i(BIT1, u_0)))), i(i(p_, k), i(NUMERAL, i(BIT1, u_0))))))
i(i(b_s_, i(i(s_b_, i(i(a_, i(realu_abs, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(a_a_g_, i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(EVEN, n)))), i(i(a_, n), i(NUMERAL, u_0))) → i(i(a_, i(i(realu_pow, x), n)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(b_s_, i(i(a_, a), b)), i(i(s_b_, i(i(IN, a), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL)))), i(i(IN, b), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL))))) → i(i(SUBSET, i(openu_segment, i(i(c_, a), b))), i(openu_segment, i(i(c_, c), d)))
i(i(b_s_, i(i(a_, a), b)), i(i(s_b_, i(i(IN, a), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL)))), i(i(IN, b), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL))))) → i(i(SUBSET, i(openu_segment, i(i(c_, a), b))), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL)))
i(i(b_s_, i(i(s_b_, i(i(a_, i(openu_interval, i(i(c_, a), b))), EMPTY)), i(i(a_, i(openu_interval, i(i(c_, c), d))), EMPTY))), i(i(s_b_, i(i(a_, a), c)), i(i(a_, b), d))) → i(i(a_, i(openu_interval, i(i(c_, a), b))), i(openu_interval, i(i(c_, c), d)))
i(inside, i(i(UNION, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(i(UNION, i(closedu_segment, i(i(CONS, i(i(c_, b), c)), NIL))), i(closedu_segment, i(i(CONS, i(i(c_, c), a)), NIL))))) → i(interior, i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY)))))
i(i(i(COND, i(i(l_a_, k), n)), i(i(realu_div, i(realu_ofu_num, i(FACT, n))), i(i(realu_mul, i(realu_ofu_num, i(FACT, i(i(m_, n), k)))), i(realu_ofu_num, i(FACT, k))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(binom, i(i(c_, n), k)))
i(i(i(COND, i(i(realu_le, i(i(vectoru_angle, x), y)), i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))), i(i(vectoru_angle, x), y)), i(i(realu_sub, pi), i(i(vectoru_angle, x), y))) → i(asn, i(sin, i(i(vectoru_angle, x), y)))
i(i(b_s_, i(i(a_, i(i(r_, i(vectoru_norm, x)), y)), i(i(r_, i(vectoru_norm, y)), x))), i(i(a_, i(i(r_, i(vectoru_norm, x)), y)), i(i(r_, i(realu_neg, i(vectoru_norm, y))), x))) → i(i(a_, i(realu_abs, i(i(dot, x), y))), i(i(realu_mul, i(vectoru_norm, x)), i(vectoru_norm, y)))
i(i(realu_mul, i(realu_ofu_num, i(binom, i(i(c_, n), k)))), i(i(realu_mul, i(i(realu_pow, x), k)), i(i(realu_pow, i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), x)), i(i(m_, n), k)))) → i(i(i(bernstein, n), k), x)
i(i(b_s_, i(i(a_, a), b)), i(i(b_s_, i(i(a_, a), c)), i(i(b_s_, i(i(a_, b), c)), i(affineu_dependent, i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY))))))) → i(collinear, i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY))))
i(i(UNION, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(i(UNION, i(closedu_segment, i(i(CONS, i(i(c_, b), c)), NIL))), i(closedu_segment, i(i(CONS, i(i(c_, c), a)), NIL)))) → i(frontier, i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY)))))
i(Im, i(clog, i(i(vectoru_add, z), i(i(complexu_mul, ii), i(csqrt, i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_pow, z), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))))))) → i(Re, i(cacs, z))
i(Im, i(clog, i(i(vectoru_add, i(i(complexu_mul, ii), z)), i(csqrt, i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(complexu_pow, z), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))))) → i(Re, i(casn, z))
i(i(s_b_, i(i(a_, i(i(matrixu_mul, i(transp, Q)), Q)), i(mat, i(NUMERAL, i(BIT1, u_0))))), i(i(a_, i(i(matrixu_mul, Q), i(transp, Q))), i(mat, i(NUMERAL, i(BIT1, u_0))))) → i(orthogonalu_matrix, Q)
i(i(s_b_, i(i(faceu_of, f), s0)), i(i(s_b_, i(w_, i(i(a_, f), EMPTY))), i(i(a_, i(affu_dim, f)), i(i(intu_sub, i(affu_dim, s0)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))))) → i(i(facetu_of, f), s0)
i(i(i(COND, i(i(a_, i(openu_interval, i(i(c_, a), b))), EMPTY)), EMPTY), i(i(DIFF, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(openu_interval, i(i(c_, a), b)))) → i(frontier, i(openu_interval, i(i(c_, a), b)))
i(i(realu_mul, i(i(realu_div, i(i(realu_sub, i(realu_ofu_num, n)), i(realu_ofu_num, k))), i(i(realu_add, i(realu_ofu_num, k)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), i(realu_ofu_num, i(binom, i(i(c_, n), k)))) → i(realu_ofu_num, i(binom, i(i(c_, n), i(i(p_, k), i(NUMERAL, i(BIT1, u_0))))))
i(i(i(COND, i(i(l_a_, m), i(SUC, n))), i(i(realu_mul, i(i(product, i(i(o_o_, m), n)), f)), i(f, i(SUC, n)))), i(i(product, i(i(o_o_, m), n)), f)) → i(i(product, i(i(o_o_, m), i(SUC, n))), f)
i(i(i(COND, i(i(l_a_, m), i(SUC, n))), i(i(vectoru_add, i(i(vsum, i(i(o_o_, m), n)), f)), i(f, i(SUC, n)))), i(i(vsum, i(i(o_o_, m), n)), f)) → i(i(vsum, i(i(o_o_, m), i(SUC, n))), f)
i(i(i(COND, i(i(l_a_, m), i(SUC, n))), i(i(p_, i(i(nsum, i(i(o_o_, m), n)), f)), i(f, i(SUC, n)))), i(i(nsum, i(i(o_o_, m), n)), f)) → i(i(nsum, i(i(o_o_, m), i(SUC, n))), f)
i(i(i(COND, i(i(l_a_, m), i(SUC, n))), i(i(realu_add, i(i(sum, i(i(o_o_, m), n)), f)), i(f, i(SUC, n)))), i(i(sum, i(i(o_o_, m), n)), f)) → i(i(sum, i(i(o_o_, m), i(SUC, n))), f)
i(i(a_, i(i(realu_add, i(i(realu_pow, i(Re, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(Im, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, z), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(complexu_div, i(i(vectoru_sub, i(cexp, i(i(complexu_mul, ii), z))), i(cexp, i(i(complexu_mul, i(vectoru_neg, ii)), z)))), i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), ii)) → i(csin, z)
i(i(a_, i(i(realu_pow, i(distance, i(i(c_, w), x))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(distance, i(i(c_, y), z))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(a_, i(distance, i(i(c_, w), x))), i(distance, i(i(c_, y), z)))
i(i(b_s_, i(i(s_b_, i(i(a_, a), b)), i(i(a_, c), d))), i(i(a_, i(i(INSERT, a), i(i(INSERT, b), EMPTY))), i(i(INSERT, c), i(i(INSERT, d), EMPTY)))) → i(i(a_, i(openu_segment, i(i(c_, a), b))), i(openu_segment, i(i(c_, c), d)))
i(i(a_, i(det, i(vector, i(i(CONS, i(i(vectoru_sub, v1), v0)), i(i(CONS, i(i(vectoru_sub, v2), v0)), i(i(CONS, i(i(vectoru_sub, v3), v0)), NIL)))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(coplanar, i(i(INSERT, v0), i(i(INSERT, v1), i(i(INSERT, v2), i(i(INSERT, v3), EMPTY)))))
i(i(b_s_, i(i(a_, i(angle, i(i(c_, A), i(i(c_, B), C)))), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, i(angle, i(i(c_, A), i(i(c_, B), C)))), pi)) → i(i(a_, i(sin, i(angle, i(i(c_, A), i(i(c_, B), C))))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_sub, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(cos, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(cos, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), x))
i(i(realu_mul, i(i(realu_div, i(i(realu_add, i(exp, i(Im, z))), i(exp, i(realu_neg, i(Im, z))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(cos, i(Re, z))) → i(Re, i(ccos, z))
i(i(realu_mul, i(i(realu_div, i(i(realu_sub, i(exp, i(Im, z))), i(exp, i(realu_neg, i(Im, z))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(cos, i(Re, z))) → i(Im, i(csin, z))
i(i(realu_mul, i(i(realu_div, i(i(realu_add, i(exp, i(Im, z))), i(exp, i(realu_neg, i(Im, z))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(sin, i(Re, z))) → i(Re, i(csin, z))
i(i(realu_mul, i(i(realu_div, i(i(realu_sub, i(exp, i(realu_neg, i(Im, z)))), i(exp, i(Im, z)))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(sin, i(Re, z))) → i(Im, i(ccos, z))
i(i(realu_add, i(i(realu_pow, i(vectoru_norm, i(i(cross, x), y))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(i(dot, x), y)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_pow, i(i(realu_mul, i(vectoru_norm, x)), i(vectoru_norm, y))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(i(i(COND, i(i(realu_le, i(drop, a)), i(drop, b))), i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_interval, i(i(CONS, i(i(c_, b), a)), NIL))) → i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(d_, i(i(d_, i(i(matrixu_mul, i(rowvector, x)), i(i(matrixu_mul, i(i(matrixu_mul, i(transp, A)), B)), i(columnvector, y)))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0))) → i(i(dot, i(i(matrixu_vectoru_mul, A), x)), i(i(matrixu_vectoru_mul, B), y))
i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(distance, i(i(c_, x), a)))), i(i(realu_le, i(distance, i(i(c_, x), a))), i(distance, i(i(c_, y), a)))) → i(i(i(netord, i(at, a)), x), y)
i(i(b_s_, i(w_, i(i(IN, a), s0))), i(i(b_s_, i(w_, i(i(IN, b), s0))), i(w_, i(i(a_, i(i(connectedu_component, s0), a)), i(i(connectedu_component, s0), b))))) → i(i(a_, i(i(INTER, i(i(connectedu_component, s0), a)), i(i(connectedu_component, s0), b))), EMPTY)
i(i(s_b_, i(i(IN, x), i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL)))), i(i(s_b_, i(w_, i(i(a_, x), a))), i(w_, i(i(a_, x), b)))) → i(i(IN, x), i(openu_segment, i(i(c_, a), b)))
i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(realu_abs, i(i(realu_sub, x), a)))), i(i(realu_le, i(realu_abs, i(i(realu_sub, x), a))), i(realu_abs, i(i(realu_sub, y), a)))) → i(i(i(netord, i(atreal, a)), x), y)
i(acs, i(i(realu_div, i(i(dot, i(i(vectoru_sub, v), u)), i(i(vectoru_sub, w), u))), i(i(realu_mul, i(vectoru_norm, i(i(vectoru_sub, v), u))), i(vectoru_norm, i(i(vectoru_sub, w), u))))) → i(i(i(arcV, u), v), w)
i(i(complexu_div, i(i(vectoru_add, i(cexp, i(i(complexu_mul, ii), z))), i(cexp, i(i(complexu_mul, i(vectoru_neg, ii)), z)))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(ccos, z)
i(i(realu_div, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(sqrt, i(i(realu_add, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(cos, i(atn, x))
i(i(t_, i(i(EXP, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), x)), i(i(p_, i(i(t_, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), y)), i(NUMERAL, i(BIT1, u_0)))) → i(i(NUMPAIR, x), y)
i(i(a_, i(i(intu_add, i(i(intu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(intu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(s_b_, i(i(a_, x), i(intu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, y), i(intu_ofu_num, i(NUMERAL, u_0))))
i(i(s_b_, i(w_, i(i(a_, i(det, A)), i(realu_ofu_num, i(NUMERAL, u_0))))), i(i(a_, Ai_), i(i(r_r_, i(realu_inv, i(det, A))), i(transp, i(cofactor, A))))) → i(i(a_, i(i(matrixu_mul, Ai_), A)), i(mat, i(NUMERAL, i(BIT1, u_0))))
i(i(a_, i(i(realu_add, i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(s_b_, i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, y), i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(s_b_, i(w_, i(i(a_, i(det, A)), i(realu_ofu_num, i(NUMERAL, u_0))))), i(i(a_, Ai_), i(i(r_r_, i(realu_inv, i(det, A))), i(transp, i(cofactor, A))))) → i(i(a_, i(i(matrixu_mul, A), Ai_)), i(mat, i(NUMERAL, i(BIT1, u_0))))
i(i(s_b_, i(integer, i(i(realu_sub, x), a))), i(i(s_b_, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), a)), i(i(realu_lt, a), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))) → i(i(a_, i(frac, x)), a)
i(i(s_b_, i(i(IN, a), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL)))), i(i(IN, b), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL)))) → i(i(SUBSET, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL)))
i(i(b_s_, i(i(a_, a), b)), i(i(SUBSET, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL)))) → i(i(SUBSET, i(openu_segment, i(i(c_, a), b))), i(openu_segment, i(i(c_, c), d)))
i(i(b_s_, i(i(a_, i(i(vectoru_angle, x), y)), i(i(vectoru_angle, w), z))), i(i(a_, i(i(vectoru_angle, x), y)), i(i(realu_sub, pi), i(i(vectoru_angle, w), z)))) → i(i(a_, i(sin, i(i(vectoru_angle, x), y))), i(sin, i(i(vectoru_angle, w), z)))
i(i(realu_mul, i(distance, i(i(c_, A), C))), i(i(realu_mul, i(distance, i(i(c_, B), C))), i(cos, i(angle, i(i(c_, A), i(i(c_, C), B)))))) → i(i(dot, i(i(vectoru_sub, A), C)), i(i(vectoru_sub, B), C))
i(i(b_s_, i(i(between, a), i(i(c_, b), c))), i(i(b_s_, i(i(between, b), i(i(c_, c), a))), i(i(between, c), i(i(c_, a), b)))) → i(collinear, i(i(INSERT, a), i(i(INSERT, b), i(i(INSERT, c), EMPTY))))
i(i(vectoru_add, i(i(cross, x), i(i(cross, y), z))), i(i(vectoru_add, i(i(cross, y), i(i(cross, z), x))), i(i(cross, z), i(i(cross, x), y)))) → i(vec, i(NUMERAL, u_0))
i(i(a_, i(i(dot, i(i(vectoru_sub, x), a)), i(i(vectoru_sub, b), x))), i(i(realu_mul, i(vectoru_norm, i(i(vectoru_sub, x), a))), i(vectoru_norm, i(i(vectoru_sub, b), x)))) → i(i(between, x), i(i(c_, a), b))
i(i(a_, i(i(r_, i(vectoru_norm, i(i(vectoru_sub, x), a))), i(i(vectoru_sub, b), x))), i(i(r_, i(vectoru_norm, i(i(vectoru_sub, b), x))), i(i(vectoru_sub, x), a))) → i(i(between, x), i(i(c_, a), b))
i(i(a_, i(i(r_, i(vectoru_norm, i(i(vectoru_sub, x), y))), i(i(vectoru_sub, y), z))), i(i(r_, i(vectoru_norm, i(i(vectoru_sub, y), z))), i(i(vectoru_sub, x), y))) → i(i(a_, i(distance, i(i(c_, x), z))), i(i(realu_add, i(distance, i(i(c_, x), y))), i(distance, i(i(c_, y), z))))
i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), d)), i(i(s_b_, i(i(realu_lt, i(i(realu_sub, x), d)), y)), i(i(realu_lt, y), i(i(realu_add, x), d)))) → i(i(realu_lt, i(realu_abs, i(i(realu_sub, y), x))), d)
i(i(s_b_, i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), d)), i(i(s_b_, i(i(intu_lt, i(i(intu_sub, x), d)), y)), i(i(intu_lt, y), i(i(intu_add, x), d)))) → i(i(intu_lt, i(intu_abs, i(i(intu_sub, y), x))), d)
i(i(vectoru_add, i(t, i(NUMERAL, i(BIT1, u_0)))), i(i(vectoru_add, i(t, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(t, i(NUMERAL, i(BIT1, i(BIT1, u_0)))))) → i(i(vsum, i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), t)
i(i(complexu_mul, i(Cx, i(exp, i(Re, z)))), i(i(vectoru_add, i(Cx, i(cos, i(Im, z)))), i(i(complexu_mul, ii), i(Cx, i(sin, i(Im, z)))))) → i(cexp, z)
i(i(b_s_, i(i(realu_lt, a), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(realu_gt, i(i(dot, x), x)), i(i(realu_pow, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_gt, i(vectoru_norm, x)), a)
i(i(s_b_, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), a)), i(i(realu_lt, i(i(dot, x), x)), i(i(realu_pow, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_lt, i(vectoru_norm, x)), a)
i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), a)), i(i(realu_lt, i(i(dot, x), x)), i(i(realu_pow, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_lt, i(vectoru_norm, x)), a)
i(i(b_s_, i(i(realu_le, a), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(realu_ge, i(i(dot, x), x)), i(i(realu_pow, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_ge, i(vectoru_norm, x)), a)
i(i(realu_mul, i(t, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_mul, i(t, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(t, i(NUMERAL, i(BIT1, i(BIT1, u_0)))))) → i(i(product, i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), t)
i(i(realu_add, i(t, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_add, i(t, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(t, i(NUMERAL, i(BIT1, i(BIT1, u_0)))))) → i(i(sum, i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(NUMERAL, i(BIT1, i(BIT1, u_0))))), t)
i(i(s_b_, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), a)), i(i(realu_le, i(i(dot, x), x)), i(i(realu_pow, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_le, i(vectoru_norm, x)), a)
i(i(s_b_, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), a)), i(i(a_, i(i(dot, x), x)), i(i(realu_pow, a), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(a_, i(vectoru_norm, x)), a)
i(i(complexu_div, i(i(vectoru_sub, i(ccos, i(i(vectoru_sub, w), z))), i(ccos, i(i(vectoru_add, w), z)))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(complexu_mul, i(csin, w)), i(csin, z))
i(i(complexu_div, i(i(vectoru_add, i(ccos, i(i(vectoru_sub, w), z))), i(ccos, i(i(vectoru_add, w), z)))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(complexu_mul, i(ccos, w)), i(ccos, z))
i(i(i(COND, i(i(a_, w), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), i(cexp, i(i(complexu_mul, z), i(clog, w)))) → i(i(cpow, w), z)
i(i(complexu_div, i(i(vectoru_add, i(csin, i(i(vectoru_add, w), z))), i(csin, i(i(vectoru_sub, w), z)))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(complexu_mul, i(csin, w)), i(ccos, z))
i(sqrt, i(i(realu_add, i(i(realu_pow, i(vectoru_norm, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(vectoru_norm, y)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(vectoru_norm, i(i(pastecart, x), y))
i(i(a_, i(i(realu_pow, i(i(dot, x), y)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(i(dot, x), x)), i(i(dot, y), y))) → i(collinear, i(i(INSERT, i(vec, i(NUMERAL, u_0))), i(i(INSERT, x), i(i(INSERT, y), EMPTY))))
i(i(complexu_div, i(i(vectoru_sub, i(csin, i(i(vectoru_add, w), z))), i(csin, i(i(vectoru_sub, w), z)))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(complexu_mul, i(ccos, w)), i(csin, z))
i(i(i(COND, i(i(realu_le, a), b)), i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_realu_interval, i(i(CONS, i(i(c_, b), a)), NIL))) → i(closedu_realu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(t_, i(i(m_, i(i(p_, n), i(NUMERAL, i(BIT1, u_0)))), k)), i(binom, i(i(c_, i(i(p_, n), i(NUMERAL, i(BIT1, u_0)))), k))) → i(i(t_, i(i(p_, n), i(NUMERAL, i(BIT1, u_0)))), i(binom, i(i(c_, n), k)))
i(i(i(COND, i(i(l_a_, k), n)), i(i(DIV, i(FACT, n)), i(i(t_, i(FACT, i(i(m_, n), k))), i(FACT, k)))), i(NUMERAL, u_0)) → i(binom, i(i(c_, n), k))
i(sqrt, i(i(realu_add, i(i(realu_pow, i(Re, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(Im, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(vectoru_norm, z)
i(i(complexu_div, i(i(vectoru_sub, z), i(clog, i(cexp, z)))), i(i(complexu_mul, i(Cx, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), pi))), ii)) → i(unwinding, z)
i(i(i(hasu_integral, i(i(o, lift), i(i(o, f), drop))), i(lift, y)), i(closedu_interval, i(i(CONS, i(i(c_, i(lift, a)), i(lift, b))), NIL))) → i(i(i(hasu_realu_integral, f), y), i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(closedu_interval, i(i(CONS, i(i(c_, i(lift, i(i(realu_max, i(drop, a)), i(drop, c)))), i(lift, i(i(realu_min, i(drop, b)), i(drop, d))))), NIL)) → i(i(INTER, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_interval, i(i(CONS, i(i(c_, c), d)), NIL)))
i(i(b_s_, i(i(a_, x), a)), i(i(b_s_, i(i(a_, x), b)), i(i(a_, i(angle, i(i(c_, a), i(i(c_, x), b)))), pi))) → i(i(between, x), i(i(c_, a), b))
i(i(i(COND, i(i(a_, i(f, x)), i(neutral, op))), i(i(i(support, op), f), s0)), i(i(INSERT, x), i(i(i(support, op), f), s0))) → i(i(i(support, op), f), i(i(INSERT, x), s0))
i(vector, i(i(CONS, i(i(realu_mul, r), i(cos, i(i(realu_add, t), s0)))), i(i(CONS, i(i(realu_mul, r), i(sin, i(i(realu_add, t), s0)))), NIL))) → i(i(rotate2d, t), i(vector, i(i(CONS, i(i(realu_mul, r), i(cos, s0))), i(i(CONS, i(i(realu_mul, r), i(sin, s0))), NIL))))
i(i(i(COND, i(EVEN, n)), i(i(b_s_, i(i(a_, n), i(NUMERAL, u_0))), i(i(a_, i(realu_abs, x)), i(realu_abs, y)))), i(i(a_, x), y)) → i(i(a_, i(i(realu_pow, x), n)), i(i(realu_pow, y), n))
i(i(realu_add, i(i(realu_div, e), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(realu_div, e), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → e
i(i(realu_sub, i(i(realu_pow, i(cos, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(sin, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(cos, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), x))
i(i(vectoru_sub, i(i(complexu_pow, i(ccos, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(complexu_pow, i(csin, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(ccos, i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), z))
i(i(vectoru_add, i(i(complexu_pow, i(csin, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(complexu_pow, i(ccos, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(i(COND, i(i(a_, l2), NIL)), F), i(i(s_b_, i(i(P, h1), i(HD, l2))), i(i(i(ALL2, P), t1), i(TL, l2)))) → i(i(i(ALL2, P), i(i(CONS, h1), t1)), l2)
i(i(realu_add, i(i(realu_pow, i(Re, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(Im, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_pow, i(vectoru_norm, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(i(realu_sub, i(i(realu_pow, i(Re, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(Im, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(Re, i(i(complexu_pow, z), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))
i(i(continuous, i(i(o, Cx), i(i(o, f), Re))), i(i(within, i(at, i(Cx, x))), i(i(INTER, real0), i(i(IMAGE, Cx), s0)))) → i(i(realu_continuous, f), i(i(within, i(atreal, x)), s0))
i(i(realu_div, i(i(realu_sub, i(cos, i(i(realu_sub, x), y))), i(cos, i(i(realu_add, x), y)))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_mul, i(sin, x)), i(sin, y))
i(i(s_b_, i(i(a_, i(i(dot, x), y)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, i(i(cross, x), y)), i(vec, i(NUMERAL, u_0)))) → i(i(b_s_, i(i(a_, x), i(vec, i(NUMERAL, u_0)))), i(i(a_, y), i(vec, i(NUMERAL, u_0))))
i(i(realu_div, i(i(realu_add, i(cos, i(i(realu_sub, x), y))), i(cos, i(i(realu_add, x), y)))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_mul, i(cos, x)), i(cos, y))
i(i(s_b_, i(i(a_, i(intu_abs, x)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(i(a_, i(intu_abs, y)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(a_, i(intu_abs, i(i(intu_mul, x), y))), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(realu_div, i(i(realu_add, i(sin, i(i(realu_add, x), y))), i(sin, i(i(realu_sub, x), y)))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_mul, i(sin, x)), i(cos, y))
i(i(i(COND, i(i(IN, a), i(i(hull, affine), s0))), i(affu_dim, s0)), i(i(intu_add, i(affu_dim, s0)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(affu_dim, i(i(INSERT, a), s0))
i(i(vectoru_add, i(ccos, i(i(complexu_mul, i(Cx, i(realu_ofu_num, n))), z))), i(i(complexu_mul, ii), i(csin, i(i(complexu_mul, i(Cx, i(realu_ofu_num, n))), z)))) → i(i(complexu_pow, i(i(vectoru_add, i(ccos, z)), i(i(complexu_mul, ii), i(csin, z)))), n)
i(i(realu_div, i(i(realu_sub, i(sin, i(i(realu_add, x), y))), i(sin, i(i(realu_sub, x), y)))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_mul, i(cos, x)), i(sin, y))
i(i(s_b_, i(i(a_, i(i(dot, x), x)), i(i(dot, x), y))), i(i(a_, i(i(dot, y), y)), i(i(dot, x), x))) → i(i(a_, x), y)
i(i(i(COND, b), i(SUC, i(i(t_, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), x))), i(i(t_, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), x)) → i(i(NUMSUM, b), x)
i(i(s_b_, i(integer, a)), i(i(s_b_, i(i(realu_le, a), x)), i(i(realu_lt, x), i(i(realu_add, a), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))))) → i(i(a_, i(floor, x)), a)
i(i(realu_add, i(i(realu_pow, i(sin, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, i(cos, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(i(hasu_vectoru_derivative, i(i(o, lift), i(i(o, f), drop))), i(lift, fi_)), i(i(within, i(at, i(lift, x))), i(i(IMAGE, lift), s0))) → i(i(i(hasu_realu_derivative, f), fi_), i(i(within, i(atreal, x)), s0))
i(i(s_b_, i(i(i(m_m_g_, f), l), i(i(within, i(at, x)), s0))), i(i(i(m_m_g_, f), l), i(i(within, i(at, x)), t))) → i(i(i(m_m_g_, f), l), i(i(within, i(at, x)), i(i(UNION, s0), t)))
i(i(a_, i(cos, i(angle, i(i(c_, a), i(i(c_, b), c))))), i(cos, i(angle, i(i(c_, ai_), i(i(c_, bi_), ci_))))) → i(i(a_, i(angle, i(i(c_, a), i(i(c_, b), c)))), i(angle, i(i(c_, ai_), i(i(c_, bi_), ci_))))
i(i(realu_mul, i(content, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))), i(content, i(closedu_interval, i(i(CONS, i(i(c_, c), d)), NIL)))) → i(content, i(closedu_interval, i(i(CONS, i(i(c_, i(i(pastecart, a), c)), i(i(pastecart, b), d))), NIL)))
i(i(s_b_, i(i(a_, i(openu_interval, i(i(c_, a), b))), EMPTY)), i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, c), d)), NIL))), EMPTY)) → i(i(a_, i(openu_interval, i(i(c_, a), b))), i(closedu_interval, i(i(CONS, i(i(c_, c), d)), NIL)))
i(i(s_b_, i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), EMPTY)), i(i(a_, i(openu_interval, i(i(c_, c), d))), EMPTY)) → i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(openu_interval, i(i(c_, c), d)))
i(i(b_s_, i(i(l_, n), p)), i(i(b_s_, i(i(l_, q), m)), i(i(b_s_, i(i(l_, n), m)), i(i(l_, q), p)))) → i(i(DISJOINT, i(i(o_o_, m), n)), i(i(o_o_, p), q))
i(i(realu_sub, i(i(realu_mul, i(i(dot, w), y)), i(i(dot, x), z))), i(i(realu_mul, i(i(dot, w), z)), i(i(dot, x), y))) → i(i(dot, i(i(cross, w), x)), i(i(cross, y), z))
i(i(c_, i(i(hrealu_add, i(i(hrealu_mul, x1), x2)), i(i(hrealu_mul, y1), y2))), i(i(hrealu_add, i(i(hrealu_mul, x1), y2)), i(i(hrealu_mul, y1), x2))) → i(i(trealu_mul, i(i(c_, x1), y1)), i(i(c_, x2), y2))
i(i(s_b_, i(w_, i(i(a_, x), a))), i(i(s_b_, i(w_, i(i(a_, x), b))), i(i(between, x), i(i(c_, a), b)))) → i(i(a_, i(angle, i(i(c_, a), i(i(c_, x), b)))), pi)
i(i(i(COND, i(FINITE, i(i(i(support, op), f), s0))), i(i(i(iterate, op), i(i(i(support, op), f), s0)), f)), i(neutral, op)) → i(i(i(iterate, op), s0), f)
i(i(s_b_, i(i(IN, a), s0)), i(i(s_b_, i(i(IN, b), s0)), i(i(a_, i(i(connectedu_component, s0), a)), i(i(connectedu_component, s0), b)))) → i(w_, i(i(a_, i(i(INTER, i(i(connectedu_component, s0), a)), i(i(connectedu_component, s0), b))), EMPTY))
i(i(complexu_mul, i(vectoru_neg, ii)), i(i(complexu_div, i(i(vectoru_sub, z), i(cnj, z))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(Cx, i(Im, z))
i(i(realu_div, x), i(sqrt, i(i(realu_add, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(sin, i(atn, x))
i(i(s_b_, i(FINITE, s0)), i(i(a_, i(affu_dim, s0)), i(i(intu_sub, i(intu_ofu_num, i(CARD, s0))), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))) → i(w_, i(affineu_dependent, s0))
i(i(i(COND, i(i(a_, n), i(NUMERAL, u_0))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(complexu_pow, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), n)
i(i(i(m_m_g_, i(i(o, f), Re)), a), i(i(within, i(at, i(Cx, x))), i(i(INTER, real0), i(i(IMAGE, Cx), s0)))) → i(i(i(m_m_g_, f), a), i(i(within, i(atreal, x)), s0))
i(i(i(COND, i(i(a_, z), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(complexu_pow, z), n)) → i(i(cpow, z), i(Cx, i(realu_ofu_num, n)))
i(i(i(COND, i(i(IN, a), s0)), i(independent, s0)), i(i(s_b_, i(independent, s0)), i(w_, i(i(IN, a), i(span, s0))))) → i(independent, i(i(INSERT, a), s0))
i(i(i(COND, i(i(realu_lt, i(drop, a)), i(drop, b))), i(i(realu_sub, i(drop, b)), i(drop, a))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(openu_interval, i(i(c_, a), b)))
i(i(i(COND, i(i(realu_lt, i(drop, a)), i(drop, b))), i(i(realu_sub, i(drop, b)), i(drop, a))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(i(COND, i(i(realu_le, i(drop, a)), i(drop, b))), i(i(realu_sub, i(drop, b)), i(drop, a))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(openu_interval, i(i(c_, a), b)))
i(i(i(COND, i(i(realu_le, i(drop, a)), i(drop, b))), i(i(realu_sub, i(drop, b)), i(drop, a))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(measure, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(i(COND, i(i(realu_le, i(drop, a)), i(drop, b))), i(openu_interval, i(i(c_, a), b))), i(openu_interval, i(i(c_, b), a))) → i(openu_segment, i(i(c_, a), b))
i(Arg, i(i(complexu_div, i(i(dropout, i(NUMERAL, i(BIT1, i(BIT1, u_0)))), y)), i(i(dropout, i(NUMERAL, i(BIT1, i(BIT1, u_0)))), x))) → i(i(i(i(azim, i(vec, i(NUMERAL, u_0))), i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))), x), y)
i(i(i(COND, i(i(l_a_, m), i(SUC, n))), i(i(INSERT, i(SUC, n)), i(i(o_o_, m), n))), i(i(o_o_, m), n)) → i(i(o_o_, m), i(SUC, n))
i(collinear, i(i(INSERT, i(vec, i(NUMERAL, u_0))), i(i(INSERT, i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(i(INSERT, x), EMPTY)))) → i(i(a_, i(i(dropout, i(NUMERAL, i(BIT1, i(BIT1, u_0)))), x)), i(vec, i(NUMERAL, u_0)))
i(i(realu_max, i(realu_abs, i(i(d_, x), i(NUMERAL, i(BIT1, u_0))))), i(realu_abs, i(i(d_, x), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(infnorm, x)
i(i(i(COND, i(i(l_, k), i(LENGTH, l))), i(i(EL, k), l)), i(i(EL, i(i(m_, k), i(LENGTH, l))), m)) → i(i(EL, k), i(i(APPEND, l), m))
i(i(a_, i(distance, i(i(c_, a), b))), i(i(realu_add, i(distance, i(i(c_, a), x))), i(distance, i(i(c_, x), b)))) → i(i(between, x), i(i(c_, a), b))
i(collinear, i(i(INSERT, i(vec, i(NUMERAL, u_0))), i(i(INSERT, i(i(vectoru_sub, x), y)), i(i(INSERT, i(i(vectoru_sub, z), y)), EMPTY)))) → i(collinear, i(i(INSERT, x), i(i(INSERT, y), i(i(INSERT, z), EMPTY))))
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_div, e), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → e
i(i(d_, i(vector, i(i(CONS, x), i(i(CONS, y), i(i(CONS, z), NIL))))), i(NUMERAL, i(BIT1, i(BIT1, u_0)))) → z
i(i(continuousu_on, g), i(closedu_interval, i(i(CONS, i(i(c_, i(vec, i(NUMERAL, u_0))), i(vec, i(NUMERAL, i(BIT1, u_0))))), NIL))) → i(path, g)
i(i(IMAGE, g), i(closedu_interval, i(i(CONS, i(i(c_, i(vec, i(NUMERAL, u_0))), i(vec, i(NUMERAL, i(BIT1, u_0))))), NIL))) → i(pathu_image, g)
i(i(intu_le, i(i(intu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(intu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(intu_le, i(intu_abs, x)), i(intu_abs, y))
i(i(i(COND, i(i(IN, x), i(span, s0))), i(dim, s0)), i(i(p_, i(dim, s0)), i(NUMERAL, i(BIT1, u_0)))) → i(dim, i(i(INSERT, x), s0))
i(i(realu_le, i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_le, i(realu_abs, x)), i(realu_abs, y))
i(i(complexu_div, i(i(complexu_mul, a), i(cnj, b))), i(i(complexu_pow, i(Cx, i(vectoru_norm, b))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(complexu_div, a), b)
i(i(s_b_, i(path, p)), i(i(s_b_, i(i(SUBSET, i(pathu_image, p)), s0)), i(i(a_, i(pathfinish, p)), i(pathstart, p)))) → i(i(i(homotopicu_loops, s0), p), p)
i(i(intu_lt, i(i(intu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(intu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(intu_lt, i(intu_abs, x)), i(intu_abs, y))
i(i(realu_lt, i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(realu_lt, i(realu_abs, x)), i(realu_abs, y))
i(i(b_s_, i(i(a_, x), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))), i(i(a_, y), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))) → i(i(a_, i(i(complexu_mul, x), y)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(i(COND, i(i(a_, a), b)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(sign, i(swap, i(i(c_, a), b)))
i(i(a_, i(i(intu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(intu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(a_, i(intu_abs, x)), i(intu_abs, y))
i(i(a_, i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_pow, y), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(i(a_, i(realu_abs, x)), i(realu_abs, y))
i(i(d_, i(i(d_, i(i(matrixu_mul, i(rowvector, x)), i(columnvector, y))), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0))) → i(i(dot, x), y)
i(i(s_b_, i(i(a_, i(i(matrixu_vectoru_mul, A), x)), i(vec, i(NUMERAL, u_0)))), i(i(IN, x), i(span, i(rows, A)))) → i(i(a_, x), i(vec, i(NUMERAL, u_0)))
i(i(i(COND, i(i(l_a_, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), i(dimindex, UNIV))), EMPTY), i(openu_segment, i(i(c_, a), b))) → i(interior, i(openu_segment, i(i(c_, a), b)))
i(i(i(COND, i(i(l_a_, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), i(dimindex, UNIV))), EMPTY), i(openu_segment, i(i(c_, a), b))) → i(interior, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(dot, b), i(i(vectoru_sub, x), i(i(r_, i(i(realu_div, i(i(dot, b), x)), i(i(dot, b), b))), b))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(b_s_, i(i(a_, i(i(vectoru_angle, x), y)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, i(i(vectoru_angle, x), y)), pi)) → i(i(a_, i(sin, i(i(vectoru_angle, x), y))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(i(hasu_complexu_derivative, i(i(o, Cx), i(i(o, f), Re))), i(Cx, fi_)), i(i(within, i(at, i(Cx, a))), real0)) → i(i(i(hasu_realu_derivative, f), fi_), i(atreal, a))
i(i(d_, i(vector, i(i(CONS, x), i(i(CONS, y), i(i(CONS, z), NIL))))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))) → y
i(i(i(COND, i(i(a_, y), i(realu_ofu_num, i(NUMERAL, u_0)))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(rpow, i(realu_ofu_num, i(NUMERAL, u_0))), y)
i(i(continuous, i(i(o, lift), i(i(o, f), drop))), i(i(within, i(at, i(lift, x))), i(i(IMAGE, lift), s0))) → i(i(realu_continuous, f), i(i(within, i(atreal, x)), s0))
i(i(s_b_, i(i(IN, a), i(openu_segment, i(i(c_, c), d)))), i(i(IN, b), i(openu_segment, i(i(c_, c), d)))) → i(i(SUBSET, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(openu_segment, i(i(c_, c), d)))
i(i(a_, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(closedu_segment, i(i(CONS, i(i(c_, c), d)), NIL))) → i(i(a_, i(i(INSERT, a), i(i(INSERT, b), EMPTY))), i(i(INSERT, c), i(i(INSERT, d), EMPTY)))
i(i(i(i(dihV, i(i(vectoru_add, a), w0)), i(i(vectoru_add, a), w1)), i(i(vectoru_add, a), w2)), i(i(vectoru_add, a), w3)) → i(i(i(i(dihV, w0), w1), w2), w3)
i(i(i(i(azim, i(i(vectoru_add, a), v)), i(i(vectoru_add, a), w)), i(i(vectoru_add, a), w1)), i(i(vectoru_add, a), w2)) → i(i(i(i(azim, v), w), w1), w2)
i(i(i(COND, i(i(a_, n), i(NUMERAL, u_0))), h), i(i(EL, i(i(m_, n), i(NUMERAL, i(BIT1, u_0)))), t)) → i(i(EL, n), i(i(CONS, h), t))
i(i(s_b_, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)), i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(a_, i(frac, x)), x)
i(i(s_b_, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)), i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(a_, i(floor, x)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(i(COND, i(evenperm, p)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(sign, p)
i(i(i(COND, i(i(a_, m), i(NUMERAL, u_0))), i(f, i(NUMERAL, u_0))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(i(product, i(i(o_o_, m), i(NUMERAL, u_0))), f)
i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(complexu_mul, i(csin, z)), i(ccos, z))) → i(csin, i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), z))
i(i(i(COND, i(i(naddu_eq, x), i(naddu_ofu_num, i(NUMERAL, u_0)))), i(naddu_ofu_num, i(NUMERAL, u_0))), i(mku_nadd, i(naddu_rinv, x))) → i(naddu_inv, x)
i(i(realu_div, i(sqrt, i(realu_ofu_num, i(NUMERAL, i(BIT1, i(BIT1, u_0)))))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(cos, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, i(BIT1, u_0)))))))
i(complex, i(i(c_, i(i(realu_add, i(Re, w)), i(Re, z))), i(i(realu_add, i(Im, w)), i(Im, z)))) → i(i(vectoru_add, w), z)
i(i(d_, i(vector, i(i(CONS, x), i(i(CONS, y), i(i(CONS, z), NIL))))), i(NUMERAL, i(BIT1, u_0))) → x
i(w_, i(i(a_, i(content, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(content, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))))
i(i(i(COND, i(i(a_, a), b)), EMPTY), i(i(hull, affine), i(i(INSERT, a), i(i(INSERT, b), EMPTY)))) → i(i(hull, affine), i(openu_segment, i(i(c_, a), b)))
i(realu_abs, i(i(realu_sub, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, y), i(NUMERAL, i(BIT1, u_0))))) → i(distance, i(i(c_, x), y))
i(i(s_b_, i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(w_, i(i(a_, y), i(realu_ofu_num, i(NUMERAL, u_0))))) → i(i(a_, i(i(rpow, x), y)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(s_b_, i(i(a_, x), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))), i(w_, i(i(a_, n), i(NUMERAL, u_0)))) → i(i(a_, i(i(complexu_pow, x), n)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(DIFF, i(closedu_realu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(i(INSERT, a), i(i(INSERT, b), EMPTY))) → i(openu_realu_segment, i(i(c_, a), b))
i(i(DIFF, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))), i(i(INSERT, a), i(i(INSERT, b), EMPTY))) → i(openu_segment, i(i(c_, a), b))
i(i(DIFF, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(i(INSERT, a), i(i(INSERT, b), EMPTY))) → i(openu_interval, i(i(c_, a), b))
i(i(DIFF, i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(i(INSERT, a), i(i(INSERT, b), EMPTY))) → i(openu_realu_interval, i(i(c_, a), b))
i(i(t_, i(BIT1, m)), i(i(t_, i(i(EXP, i(BIT1, m)), n)), i(i(EXP, i(BIT1, m)), n))) → i(i(EXP, i(BIT1, m)), i(BIT1, n))
i(i(t_, i(BIT0, m)), i(i(t_, i(i(EXP, i(BIT0, m)), n)), i(i(EXP, i(BIT0, m)), n))) → i(i(EXP, i(BIT0, m)), i(BIT1, n))
i(i(i(COND, i(i(realu_le, a), b)), i(openu_realu_interval, i(i(c_, a), b))), i(openu_realu_interval, i(i(c_, b), a))) → i(openu_realu_segment, i(i(c_, a), b))
i(closedu_interval, i(i(CONS, i(i(c_, i(i(vectoru_sub, x), i(lift, e))), i(i(vectoru_add, x), i(lift, e)))), NIL)) → i(cball, i(i(c_, x), e))
i(i(t_, i(FACT, n)), i(i(t_, i(FACT, k)), i(binom, i(i(c_, i(i(p_, n), k)), k)))) → i(FACT, i(i(p_, n), k))
i(content, i(closedu_interval, i(i(CONS, i(i(c_, i(vec, i(NUMERAL, u_0))), i(vec, i(NUMERAL, i(BIT1, u_0))))), NIL))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(i(COND, i(i(a_, n), i(NUMERAL, u_0))), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(intu_pow, i(intu_ofu_num, i(NUMERAL, u_0))), n)
i(i(i(COND, i(i(a_, n), i(NUMERAL, u_0))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_pow, i(realu_ofu_num, i(NUMERAL, u_0))), n)
i(i(i(m_m_m_g_, i(i(o, f), drop)), a), i(i(within, i(at, i(lift, x))), i(i(IMAGE, lift), s0))) → i(i(i(m_m_m_g_, f), a), i(i(within, i(atreal, x)), s0))
i(i(i(m_m_g_, i(i(o, f), drop)), a), i(i(within, i(at, i(lift, x))), i(i(IMAGE, lift), s0))) → i(i(i(m_m_g_, f), a), i(i(within, i(atreal, x)), s0))
i(i(s_b_, i(i(continuousu_on, f), X)), i(i(s_b_, i(i(SUBSET, i(i(IMAGE, f), X)), Y)), i(P, f))) → i(i(i(i(homotopicu_with, P), i(i(c_, X), Y)), f), f)
i(angle, i(i(c_, i(i(vectoru_add, a), b)), i(i(c_, i(i(vectoru_add, a), c)), i(i(vectoru_add, a), d)))) → i(angle, i(i(c_, b), i(i(c_, c), d)))
i(i(i(COND, i(i(IN, x), t)), i(i(DIFF, s0), t)), i(i(INSERT, x), i(i(DIFF, s0), t))) → i(i(DIFF, i(i(INSERT, x), s0)), t)
i(i(i(COND, i(i(IN, x), t)), i(i(UNION, s0), t)), i(i(INSERT, x), i(i(UNION, s0), t))) → i(i(UNION, i(i(INSERT, x), s0)), t)
i(i(i(COND, i(i(IN, x), t)), i(i(INSERT, x), i(i(INTER, s0), t))), i(i(INTER, s0), t)) → i(i(INTER, i(i(INSERT, x), s0)), t)
i(i(i(COND, i(i(a_, x), y)), i(i(DELETE, s0), y)), i(i(INSERT, x), i(i(DELETE, s0), y))) → i(i(DELETE, i(i(INSERT, x), s0)), y)
i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), e)), i(i(IN, y), i(cball, i(i(c_, x), e)))) → i(i(limitu_pointu_of, y), i(ball, i(i(c_, x), e)))
i(i(complexu_div, i(i(vectoru_add, z), i(cnj, z))), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(Cx, i(Re, z))
i(i(s_b_, i(orthogonalu_matrix, Q)), i(i(a_, i(det, Q)), i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))) → i(rotoinversionu_matrix, Q)
i(i(complexu_div, i(cnj, z)), i(i(complexu_pow, i(Cx, i(vectoru_norm, z))), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(complexu_inv, z)
i(i(realu_lt, i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(i(realu_lt, i(realu_abs, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(realu_le, i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(i(realu_le, i(realu_abs, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(i(hasu_vectoru_derivative, i(i(o, lift), i(i(o, f), drop))), i(lift, fi_)), i(at, i(lift, x))) → i(i(i(hasu_realu_derivative, f), fi_), i(atreal, x))
i(i(i(COND, i(P, h)), i(i(CONS, h), i(i(FILTER, P), t))), i(i(FILTER, P), t)) → i(i(FILTER, P), i(i(CONS, h), t))
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(sin, x)), i(cos, x))) → i(sin, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), x))
i(i(b_s_, i(i(a_, i(Arg, z)), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, i(Arg, z)), pi)) → i(real0, z)
i(i(p_, i(BIT1, m)), i(i(p_, i(BIT0, n)), i(BIT0, i(BIT0, i(i(t_, m), n))))) → i(i(t_, i(BIT1, m)), i(BIT1, n))
i(i(i(COND, i(i(a_, a), b)), i(intu_ofu_num, i(NUMERAL, u_0))), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(affu_dim, i(i(INSERT, a), i(i(INSERT, b), EMPTY)))
i(i(b_s_, i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, y), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, i(i(realu_mul, x), y)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(b_s_, i(i(a_, x), i(intu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, y), i(intu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, i(i(intu_mul, x), y)), i(intu_ofu_num, i(NUMERAL, u_0)))
i(i(b_s_, i(i(a_, a), i(realu_ofu_num, i(NUMERAL, u_0)))), i(i(a_, x), i(vec, i(NUMERAL, u_0)))) → i(i(a_, i(i(r_, a), x)), i(vec, i(NUMERAL, u_0)))
i(i(s_b_, i(i(a_, x), i(intu_ofu_num, i(NUMERAL, u_0)))), i(w_, i(i(a_, n), i(NUMERAL, u_0)))) → i(i(a_, i(i(intu_pow, x), n)), i(intu_ofu_num, i(NUMERAL, u_0)))
i(i(s_b_, i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(w_, i(i(a_, n), i(NUMERAL, u_0)))) → i(i(a_, i(i(realu_pow, x), n)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(s_b_, i(i(a_, m), i(NUMERAL, i(BIT1, u_0)))), i(i(a_, n), i(NUMERAL, i(BIT1, u_0)))) → i(i(a_, i(i(t_, m), n)), i(NUMERAL, i(BIT1, u_0)))
i(i(s_b_, i(i(faceu_of, e), s0)), i(i(a_, i(affu_dim, e)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(edgeu_of, e), s0)
i(i(a_, i(i(vectoru_angle, x), y)), i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(orthogonal, x), y)
i(i(i(COND, i(i(a_, a), b)), EMPTY), i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))) → i(closure, i(openu_segment, i(i(c_, a), b)))
i(i(i(COND, i(i(IN, x), s0)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(drop, i(i(indicator, s0), x))
i(i(vectoru_add, i(i(complexu_mul, i(csin, w)), i(ccos, z))), i(i(complexu_mul, i(ccos, w)), i(csin, z))) → i(csin, i(i(vectoru_add, w), z))
i(i(DIFF, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), i(openu_interval, i(i(c_, a), b))) → i(frontier, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(realu_add, i(i(realu_mul, i(sin, x)), i(cos, y))), i(i(realu_mul, i(cos, x)), i(sin, y))) → i(sin, i(i(realu_add, x), y))
i(i(i(COND, i(i(a_, a), b)), i(i(INSERT, a), EMPTY)), i(openu_segment, i(i(c_, a), b))) → i(relativeu_interior, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(vectoru_sub, i(i(complexu_mul, i(ccos, w)), i(ccos, z))), i(i(complexu_mul, i(csin, w)), i(csin, z))) → i(ccos, i(i(vectoru_add, w), z))
i(i(s_b_, i(i(SUBSET, s0), i(topspace, top))), i(i(closedu_in, top), i(i(DIFF, i(topspace, top)), s0))) → i(i(openu_in, top), s0)
i(i(realu_add, i(i(realu_mul, i(cos, w)), i(cos, z))), i(i(realu_mul, i(sin, w)), i(sin, z))) → i(cos, i(i(realu_sub, w), z))
i(i(s_b_, i(i(a_, i(Re, w)), i(Re, z))), i(i(a_, i(Im, w)), i(Im, z))) → i(i(a_, w), z)
i(i(vectoru_sub, i(i(complexu_mul, i(csin, w)), i(ccos, z))), i(i(complexu_mul, i(ccos, w)), i(csin, z))) → i(csin, i(i(vectoru_sub, w), z))
i(i(s_b_, i(i(SUBSET, s0), i(topspace, top))), i(i(openu_in, top), i(i(DIFF, i(topspace, top)), s0))) → i(i(closedu_in, top), s0)
i(i(realu_sub, i(i(realu_mul, i(sin, w)), i(cos, z))), i(i(realu_mul, i(cos, w)), i(sin, z))) → i(sin, i(i(realu_sub, w), z))
i(i(s_b_, i(i(a_, i(fstcart, x)), i(fstcart, y))), i(i(a_, i(sndcart, x)), i(sndcart, y))) → i(i(a_, x), y)
i(i(vectoru_add, i(i(complexu_mul, i(ccos, w)), i(ccos, z))), i(i(complexu_mul, i(csin, w)), i(csin, z))) → i(ccos, i(i(vectoru_sub, w), z))
i(i(realu_sub, i(i(realu_mul, i(cos, x)), i(cos, y))), i(i(realu_mul, i(sin, x)), i(sin, y))) → i(cos, i(i(realu_add, x), y))
i(i(a_, i(content, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_le, i(drop, b)), i(drop, a))
i(i(a_, i(content, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, i(interior, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))), EMPTY)
i(i(cross, i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))) → i(basis, i(NUMERAL, i(BIT1, u_0)))
i(i(complexu_mul, i(vectoru_neg, ii)), i(Cx, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(clog, i(vectoru_neg, ii))
i(closedu_interval, i(i(CONS, i(i(c_, i(vec, i(NUMERAL, i(BIT1, u_0)))), i(vec, i(NUMERAL, u_0)))), NIL)) → EMPTY
i(closedu_realu_interval, i(i(CONS, i(i(c_, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_ofu_num, i(NUMERAL, u_0)))), NIL)) → EMPTY
i(i(continuous, i(i(o, Cx), i(i(o, f), Re))), i(i(within, i(at, i(Cx, x))), real0)) → i(i(realu_continuous, f), i(atreal, x))
i(i(realu_mul, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))), i(i(d_, y), i(NUMERAL, i(BIT1, u_0)))) → i(i(dot, x), y)
i(i(cross, i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(vectoru_neg, i(basis, i(NUMERAL, i(BIT1, u_0))))
i(i(d_, i(vector, i(i(CONS, x), i(i(CONS, y), NIL)))), i(NUMERAL, i(BIT0, i(BIT1, u_0)))) → y
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_div, e), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), e)
i(i(s_b_, i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Arg, z))), i(i(realu_lt, i(Arg, z)), pi)) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, z))
i(i(IMAGE, mku_finiteu_sum), i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(i(p_, i(dimindex, UNIV)), i(dimindex, UNIV)))) → UNIV
i(i(i(COND, i(i(a_, x), i(vec, i(NUMERAL, u_0)))), i(NUMERAL, u_0)), i(NUMERAL, i(BIT1, u_0))) → i(dim, i(i(INSERT, x), EMPTY))
i(i(i(COND, i(i(a_, m), i(NUMERAL, u_0))), i(f, i(NUMERAL, u_0))), i(vec, i(NUMERAL, u_0))) → i(i(vsum, i(i(o_o_, m), i(NUMERAL, u_0))), f)
i(i(i(COND, i(i(a_, m), i(NUMERAL, u_0))), i(f, i(NUMERAL, u_0))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(sum, i(i(o_o_, m), i(NUMERAL, u_0))), f)
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(i(realu_mul, i(Re, z)), i(Im, z))) → i(Im, i(i(complexu_pow, z), i(NUMERAL, i(BIT0, i(BIT1, u_0)))))
i(i(realu_sub, i(i(d_, i(i(d_, A), i0)), j)), i(i(d_, i(i(d_, B), i0)), j)) → i(i(d_, i(i(d_, i(i(matrixu_sub, A), B)), i0)), j)
i(i(b_s_, i(i(l_, n), m)), i(i(s_b_, i(i(l_a_, p), m)), i(i(l_a_, n), q))) → i(i(SUBSET, i(i(o_o_, m), n)), i(i(o_o_, p), q))
i(i(realu_add, i(i(d_, i(i(d_, A), i0)), j)), i(i(d_, i(i(d_, B), i0)), j)) → i(i(d_, i(i(d_, i(i(matrixu_add, A), B)), i0)), j)
i(measure, i(conv0, i(i(INSERT, v0), i(i(INSERT, v1), i(i(INSERT, v2), i(i(INSERT, v3), EMPTY)))))) → i(i(i(i(volu_conv, v0), v1), v2), v3)
i(i(s_b_, i(i(a_, c1), c2)), i(i(s_b_, i(i(a_, i1), i2)), i(i(a_, r1), r2))) → i(i(a_, i(i(i(CONSTR, c1), i1), r1)), i(i(i(CONSTR, c2), i2), r2))
i(i(b_s_, i(i(a_, x), y)), i(i(b_s_, i(i(R, x), y)), i(i(R, y), x))) → i(i(i(RSC, R), x), y)
i(i(a_, i(i(IN, x), i(i(DELETE, s0), xi_))), i(i(IN, xi_), i(i(DELETE, s0), x))) → i(i(a_, i(i(IN, x), s0)), i(i(IN, xi_), s0))
i(i(i(COND, i(i(a_, k), i0)), j), i(i(i(COND, i(i(a_, k), j)), i0), k)) → i(i(swap, i(i(c_, i0), j)), k)
i(i(vectoru_sub, i(i(r_, i(i(dot, x), z)), y)), i(i(r_, i(i(dot, x), y)), z)) → i(i(cross, x), i(i(cross, y), z))
i(i(s_b_, i(i(l_a_, m), i(i(p_, n), p))), i(i(l_a_, n), i(i(p_, m), p))) → i(i(l_a_, i(dist, i(i(c_, m), n))), p)
i(i(i(hasu_integral, i(i(o, lift), i(i(o, f), drop))), i(lift, y)), i(i(IMAGE, lift), s0)) → i(i(i(hasu_realu_integral, f), y), s0)
i(i(between, i(i(vectoru_add, a), x)), i(i(c_, i(i(vectoru_add, a), y)), i(i(vectoru_add, a), z))) → i(i(between, x), i(i(c_, y), z))
i(i(IN, i(vectoru_neg, x)), i(closedu_interval, i(i(CONS, i(i(c_, i(vectoru_neg, b)), i(vectoru_neg, a))), NIL))) → i(i(IN, x), i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(s_b_, i(orthogonalu_matrix, Q)), i(i(a_, i(det, Q)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(rotationu_matrix, Q)
i(i(i(COND, i(i(a_, m), i(NUMERAL, u_0))), i(i(INSERT, i(NUMERAL, u_0)), EMPTY)), EMPTY) → i(i(o_o_, m), i(NUMERAL, u_0))
i(i(b_s_, i(affineu_dependent, s0)), i(i(IN, i(vec, i(NUMERAL, u_0))), i(i(hull, affine), s0))) → i(dependent, s0)
i(i(s_b_, i(w_, i(i(a_, s0), EMPTY))), i(i(s_b_, i(convex, s0)), i(conic, s0))) → i(convexu_cone, s0)
i(i(s_b_, i(i(a_a_g_, c), i(P, x))), i(i(a_a_g_, i(w_, c)), i(P, y))) → i(P, i(i(i(COND, c), x), y))
i(i(realu_div, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(sin, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, i(BIT1, u_0)))))))
i(i(cross, i(basis, i(NUMERAL, i(BIT1, u_0)))), i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))) → i(vectoru_neg, i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))
i(i(cross, i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(basis, i(NUMERAL, i(BIT1, u_0)))) → i(vectoru_neg, i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0)))))
i(cos, i(i(realu_sub, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), x)) → i(sin, x)
i(sin, i(i(realu_sub, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), x)) → i(cos, x)
i(tan, i(i(realu_sub, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), x)) → i(realu_inv, i(tan, x))
i(trivialu_limit, i(i(within, i(at, i(Cx, x))), i(i(INTER, real0), i(i(IMAGE, Cx), s0)))) → i(trivialu_limit, i(i(within, i(atreal, x)), s0))
i(measure, i(cball, i(i(c_, i(vec, i(NUMERAL, u_0))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))) → pi
i(i(i(COND, i(i(a_, i(FST, h)), a)), i(SND, h)), i(i(ASSOC, a), t)) → i(i(ASSOC, a), i(i(CONS, h), t))
i(i(d_, i(vector, i(i(CONS, x), i(i(CONS, y), NIL)))), i(NUMERAL, i(BIT1, u_0))) → x
i(i(complexu_mul, i(Cx, i(exp, r))), i(complex, i(i(c_, i(cos, t)), i(sin, t)))) → i(cexp, i(complex, i(i(c_, r), t)))
i(i(realu_mul, i(vectoru_norm, x)), i(i(realu_mul, i(vectoru_norm, y)), i(cos, i(i(vectoru_angle, x), y)))) → i(i(dot, x), y)
i(i(s_b_, i(i(l_, n), m)), i(w_, i(i(a_, i(ODD, m)), i(ODD, n)))) → i(ODD, i(i(m_, m), n))
i(collinear, i(i(INSERT, i(vec, i(NUMERAL, u_0))), i(i(INSERT, x), i(i(INSERT, y), EMPTY)))) → i(i(a_, i(i(cross, x), y)), i(vec, i(NUMERAL, u_0)))
i(i(s_b_, i(i(a_, m), i(NUMERAL, u_0))), i(w_, i(i(a_, n), i(NUMERAL, u_0)))) → i(i(a_, i(i(EXP, m), n)), i(NUMERAL, u_0))
i(i(realu_mul, i(vectoru_norm, x)), i(i(realu_mul, i(vectoru_norm, y)), i(sin, i(i(vectoru_angle, x), y)))) → i(vectoru_norm, i(i(cross, x), y))
i(openu_interval, i(i(c_, i(i(vectoru_sub, x), i(lift, e))), i(i(vectoru_add, x), i(lift, e)))) → i(ball, i(i(c_, x), e))
i(i(UNION, i(openu_segment, i(i(c_, a), b))), i(i(INSERT, a), i(i(INSERT, b), EMPTY))) → i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(IMAGE, lift), i(closedu_realu_segment, i(i(CONS, i(i(c_, i(drop, a)), i(drop, b))), NIL))) → i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(b_s_, i(w_, i(i(a_, x), i(NUMERAL, u_0)))), i(i(a_, n), i(NUMERAL, u_0))) → i(i(l_, i(NUMERAL, u_0)), i(i(EXP, x), n))
i(i(b_s_, i(i(a_, x), i(NUMERAL, i(BIT1, u_0)))), i(i(a_, n), i(NUMERAL, u_0))) → i(i(a_, i(i(EXP, x), n)), i(NUMERAL, i(BIT1, u_0)))
i(i(IMAGE, drop), i(closedu_segment, i(i(CONS, i(i(c_, i(lift, a)), i(lift, b))), NIL))) → i(closedu_realu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(i(COND, i(EVEN, n)), i(i(complexu_pow, x), n)), i(vectoru_neg, i(i(complexu_pow, x), n))) → i(i(complexu_pow, i(vectoru_neg, x)), n)
i(i(p_, i(binom, i(i(c_, n), i(SUC, k)))), i(binom, i(i(c_, n), k))) → i(binom, i(i(c_, i(SUC, n)), i(SUC, k)))
i(i(i(COND, i(EVEN, n)), i(i(intu_pow, x), n)), i(intu_neg, i(i(intu_pow, x), n))) → i(i(intu_pow, i(intu_neg, x)), n)
i(i(i(COND, i(EVEN, n)), i(i(realu_pow, x), n)), i(realu_neg, i(i(realu_pow, x), n))) → i(i(realu_pow, i(realu_neg, x)), n)
i(i(a_, s0), i(i(INSERT, i(closedu_interval, i(i(CONS, i(i(c_, a), a)), NIL))), EMPTY)) → i(i(divisionu_of, s0), i(closedu_interval, i(i(CONS, i(i(c_, a), a)), NIL)))
i(i(vectoru_add, x), i(i(complexu_mul, i(Cx, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), y)) → i(i(vectoru_sub, x), y)
i(i(a_, i(vectoru_norm, i(i(vectoru_add, x), y))), i(i(realu_add, i(vectoru_norm, x)), i(vectoru_norm, y))) → i(i(a_, i(i(r_, i(vectoru_norm, x)), y)), i(i(r_, i(vectoru_norm, y)), x))
i(i(r_, i(realu_inv, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), i(i(vectoru_add, a), b)) → i(midpoint, i(i(c_, a), b))
i(i(complexu_mul, i(i(complexu_pow, i(vectoru_neg, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), n)), z) → i(i(rotate2d, i(i(realu_mul, i(realu_ofu_num, n)), pi)), z)
i(i(complexu_mul, ii), i(Cx, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(clog, ii)
i(i(i(m_m_g_, i(i(o, f), Re)), a), i(i(within, i(at, i(Cx, x))), real0)) → i(i(i(m_m_g_, f), a), i(atreal, x))
i(i(i(COND, i(i(a_, n), i(NUMERAL, u_0))), i(NUMERAL, i(BIT1, u_0))), i(NUMERAL, u_0)) → i(i(EXP, i(NUMERAL, u_0)), n)
i(i(i(COND, i(i(a_, m), i(NUMERAL, u_0))), i(f, i(NUMERAL, u_0))), i(NUMERAL, u_0)) → i(i(nsum, i(i(o_o_, m), i(NUMERAL, u_0))), f)
i(i(dropout, i(NUMERAL, i(BIT1, i(BIT1, u_0)))), i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(i(cross, i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))), i(basis, i(NUMERAL, i(BIT1, u_0)))) → i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(i(cross, i(basis, i(NUMERAL, i(BIT1, u_0)))), i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))
i(i(i(f, h1), i(HD, l2)), i(i(i(i(ITLIST2, f), t1), i(TL, l2)), b)) → i(i(i(i(ITLIST2, f), i(i(CONS, h1), t1)), l2), b)
i(i(IMAGE, drop), i(closedu_interval, i(i(CONS, i(i(c_, i(lift, a)), i(lift, b))), NIL))) → i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(IMAGE, lift), i(closedu_realu_interval, i(i(CONS, i(i(c_, i(drop, a)), i(drop, b))), NIL))) → i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(dropout, i(NUMERAL, i(BIT1, i(BIT1, u_0)))), i(basis, i(NUMERAL, i(BIT1, i(BIT1, u_0))))) → i(vec, i(NUMERAL, u_0))
i(sin, i(i(realu_add, x), i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), pi))) → i(sin, x)
i(cos, i(i(realu_add, x), i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), pi))) → i(cos, x)
i(i(a_, i(i(MOD, n), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, i(BIT1, u_0))) → i(ODD, n)
i(i(CONS, i(i(f, h1), i(HD, l))), i(i(i(MAP2, f), t1), i(TL, l))) → i(i(i(MAP2, f), i(i(CONS, h1), t1)), l)
i(i(s_b_, i(i(IN, x), s0)), i(w_, i(i(a_, i(f, x)), i(neutral, op)))) → i(i(IN, x), i(i(i(support, op), f), s0))
i(i(i(arcV, i(i(vectoru_add, a), b)), i(i(vectoru_add, a), c)), i(i(vectoru_add, a), d)) → i(i(i(arcV, b), c), d)
i(i(i(COND, i(i(l_, m), k)), i(i(o_o_, k), n)), i(i(o_o_, m), n)) → i(i(INTER, i(from, k)), i(i(o_o_, m), n))
i(i(matrixu_vectoru_mul, i(transp, A)), i(i(cross, i(i(matrixu_vectoru_mul, A), x)), i(i(matrixu_vectoru_mul, A), y))) → i(i(r_, i(det, A)), i(i(cross, x), y))
i(i(equiintegrableu_on, i(i(INSERT, f), EMPTY)), i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(integrableu_on, f), i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL)))
i(i(i(homotopicu_loops, s0), i(linepath, i(i(c_, a), a))), i(linepath, i(i(c_, b), b))) → i(i(i(pathu_component, s0), a), b)
i(i(i(i(dihV, i(vec, i(NUMERAL, u_0))), i(vectoru_neg, v1)), i(vectoru_neg, v2)), i(vectoru_neg, v3)) → i(i(i(i(dihV, i(vec, i(NUMERAL, u_0))), v1), v2), v3)
i(i(a_, i(realu_sgn, x)), i(realu_ofu_int, i(intu_neg, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))) → i(i(realu_lt, x), i(realu_ofu_int, i(intu_ofu_num, i(NUMERAL, u_0))))
i(w_, i(i(IN, i0), i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(dimindex, UNIV)))) → i(i(a_, i(basis, i0)), i(vec, i(NUMERAL, u_0)))
i(i(a_, i(i(matrixu_mul, A), i(transp, A))), i(mat, i(NUMERAL, i(BIT1, u_0)))) → i(orthogonalu_matrix, A)
i(i(s_b_, i(real0, z)), i(i(realu_lt, i(Re, z)), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, i(Arg, z)), pi)
i(i(s_b_, i(simpleu_path, g)), i(w_, i(i(a_, i(pathfinish, g)), i(pathstart, g)))) → i(arc, g)
i(i(vectoru_add, i(Cx, i(Re, z))), i(i(complexu_mul, ii), i(Cx, i(Im, z)))) → z
i(i(continuous, i(i(o, lift), i(i(o, f), drop))), i(at, i(lift, x))) → i(i(realu_continuous, f), i(atreal, x))
i(i(s_b_, i(real0, z)), i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Re, z))) → i(i(a_, i(Arg, z)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(INSERT, i(vec, i(NUMERAL, u_0))), i(i(hull, conic), i(i(hull, convex), s0))) → i(i(hull, convexu_cone), s0)
i(i(DIFF, i(i(DIFF, UNIV), i(interior, s0))), i(interior, i(i(DIFF, UNIV), s0))) → i(frontier, s0)
i(i(i(COND, i(i(l_a_, n), m)), i(BIT1, i(i(m_, m), n))), u_0) → i(i(m_, i(BIT1, m)), i(BIT0, n))
i(complex, i(i(c_, i(realu_ofu_num, i(NUMERAL, u_0))), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → ii
i(i(i(COND, i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)), x), i(realu_neg, x)) → i(realu_abs, x)
i(i(absolutelyu_integrableu_on, i(i(o, lift), i(i(o, f), drop))), i(i(IMAGE, lift), s0)) → i(i(absolutelyu_realu_integrableu_on, f), s0)
i(i(integrableu_on, i(i(o, lift), i(i(o, f), drop))), i(i(IMAGE, lift), s0)) → i(i(realu_integrableu_on, f), s0)
i(i(i(subpath, i(vec, i(NUMERAL, i(BIT1, u_0)))), i(vec, i(NUMERAL, u_0))), g) → i(reversepath, g)
i(i(rotate2d, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))), z) → i(i(complexu_mul, ii), z)
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Re, i(i(complexu_mul, a), i(cnj, b)))) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Re, i(i(complexu_div, a), b)))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, i(i(complexu_mul, a), i(cnj, b)))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, i(i(complexu_div, a), b)))
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, i(i(complexu_mul, a), i(cnj, b)))) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, i(i(complexu_div, a), b)))
i(i(s_b_, i(i(IN, x), s0)), i(w_, i(i(a_, x), i(CHOICE, s0)))) → i(i(IN, x), i(REST, s0))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Re, i(i(complexu_mul, a), i(cnj, b)))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Re, i(i(complexu_div, a), b)))
i(i(vectoru_variation, i(i(IMAGE, lift), s0)), i(i(o, lift), i(i(o, f), drop))) → i(i(realu_variation, s0), f)
i(i(s_b_, i(i(a_, m), i(NUMERAL, u_0))), i(i(a_, n), i(NUMERAL, u_0))) → i(i(a_, i(i(p_, m), n)), i(NUMERAL, u_0))
i(i(realu_le, i(Im, i(i(complexu_mul, a), i(cnj, b)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_le, i(Im, i(i(complexu_div, a), b))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_lt, i(Re, i(i(complexu_mul, a), i(cnj, b)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_lt, i(Re, i(i(complexu_div, a), b))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(Re, i(i(complexu_mul, a), i(cnj, b)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, i(Re, i(i(complexu_div, a), b))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(b_s_, i(i(a_, m), i(NUMERAL, u_0))), i(i(a_, n), i(NUMERAL, u_0))) → i(i(a_, i(i(t_, m), n)), i(NUMERAL, u_0))
i(i(realu_le, i(Re, i(i(complexu_mul, a), i(cnj, b)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_le, i(Re, i(i(complexu_div, a), b))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_lt, i(Im, i(i(complexu_mul, a), i(cnj, b)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_lt, i(Im, i(i(complexu_div, a), b))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(Im, i(i(complexu_mul, a), i(cnj, b)))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, i(Im, i(i(complexu_div, a), b))), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(b_s_, i(i(l_a_, m), n)), i(i(a_, i(EVEN, m)), i(EVEN, n))) → i(EVEN, i(i(m_, m), n))
i(i(s_b_, i(i(SUBSET, s0), i(span, t))), i(i(SUBSET, t), i(span, s0))) → i(i(a_, i(span, s0)), i(span, t))
i(i(t_, i(i(EXP, i(BIT1, m)), n)), i(i(EXP, i(BIT1, m)), n)) → i(i(EXP, i(BIT1, m)), i(BIT0, n))
i(i(t_, i(i(EXP, i(BIT0, m)), n)), i(i(EXP, i(BIT0, m)), n)) → i(i(EXP, i(BIT0, m)), i(BIT0, n))
i(i(continuousu_on, i(i(o, lift), i(i(o, f), drop))), i(i(IMAGE, lift), s0)) → i(i(realu_continuousu_on, f), s0)
i(i(uniformlyu_continuousu_on, i(i(o, lift), i(i(o, f), drop))), i(i(IMAGE, lift), s0)) → i(i(realu_uniformlyu_continuousu_on, f), s0)
i(w_, i(i(a_, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), EMPTY)) → i(i(realu_le, i(drop, a)), i(drop, b))
i(i(hasu_boundedu_variationu_on, i(i(o, lift), i(i(o, f), drop))), i(i(IMAGE, lift), s0)) → i(i(hasu_boundedu_realu_variationu_on, f), s0)
i(i(measurableu_on, i(i(o, Cx), i(i(o, f), drop))), i(i(IMAGE, lift), s0)) → i(i(realu_measurableu_on, f), s0)
i(i(s_b_, i(i(l_, i(NUMERAL, u_0)), m)), i(i(l_, i(NUMERAL, u_0)), n)) → i(i(l_, i(NUMERAL, u_0)), i(i(t_, m), n))
i(i(IN, i(midpoint, i(i(c_, a), b))), i(openu_segment, i(i(c_, a), b))) → i(w_, i(i(a_, a), b))
i(i(realu_add, x), i(i(realu_mul, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), y)) → i(i(realu_sub, x), y)
i(i(measurableu_on, i(i(o, lift), i(i(o, f), drop))), i(i(IMAGE, lift), s0)) → i(i(realu_measurableu_on, f), s0)
i(i(IN, v), i(cball, i(i(c_, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), r))) → i(i(realu_le, i(vectoru_norm, v)), r)
i(w_, i(i(a_, i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), EMPTY)) → i(i(realu_le, a), b)
i(i(IN, v), i(ball, i(i(c_, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), r))) → i(i(realu_lt, i(vectoru_norm, v)), r)
i(i(vsum, i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(NUMERAL, i(BIT1, u_0)))), f) → i(f, i(NUMERAL, i(BIT1, u_0)))
i(tan, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT0, i(BIT1, u_0))))))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(dropout, i(NUMERAL, i(BIT1, i(BIT1, u_0)))), i(basis, i(NUMERAL, i(BIT1, u_0)))) → i(basis, i(NUMERAL, i(BIT1, u_0)))
i(i(product, i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(NUMERAL, i(BIT1, u_0)))), f) → i(f, i(NUMERAL, i(BIT1, u_0)))
i(i(sum, i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(NUMERAL, i(BIT1, u_0)))), f) → i(f, i(NUMERAL, i(BIT1, u_0)))
i(i(i(COND, i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), x)), x), i(intu_neg, x)) → i(intu_abs, x)
i(vectoru_neg, i(Cx, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))))) → i(casn, i(vectoru_neg, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))))
i(i(a_, i(i(MOD, n), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), i(NUMERAL, u_0)) → i(EVEN, n)
i(i(a_, i(i(matrixu_mul, i(transp, Q)), Q)), i(mat, i(NUMERAL, i(BIT1, u_0)))) → i(orthogonalu_matrix, Q)
i(i(rotate2d, i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))), pi)), z) → z
i(i(i(subpath, i(vec, i(NUMERAL, u_0))), i(vec, i(NUMERAL, i(BIT1, u_0)))), g) → g
i(closedu_interval, i(i(CONS, i(i(c_, i(vectoru_neg, i(lift, e))), i(lift, e))), NIL)) → i(cball, i(i(c_, i(vec, i(NUMERAL, u_0))), e))
i(i(o, i(swap, i(i(c_, a), b))), i(swap, i(i(c_, a), b))) → I
i(i(a_, i(i(realu_pow, i(sqrt, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0))))), x) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(d_, i(i(d_, A), i(NUMERAL, i(BIT1, u_0)))), i(NUMERAL, i(BIT1, u_0))) → i(det, A)
i(i(i(COND, i(i(a_, t), NIL)), NIL), i(i(CONS, h), i(BUTLAST, t))) → i(BUTLAST, i(i(CONS, h), t))
i(i(CONS, i(i(c_, h1), i(HD, l2))), i(i(ZIP, t1), i(TL, l2))) → i(i(ZIP, i(i(CONS, h1), t1)), l2)
i(coplanar, i(i(INSERT, i(vec, i(NUMERAL, u_0))), i(i(INSERT, i(vectoru_neg, x)), s0))) → i(coplanar, i(i(INSERT, i(vec, i(NUMERAL, u_0))), i(i(INSERT, x), s0)))
i(i(i(hasu_realu_integral, f), y), i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(i(hasu_realu_integral, f), y), i(openu_realu_interval, i(i(c_, a), b)))
i(i(i(i(dihV, i(vectoru_neg, v0)), i(vectoru_neg, v1)), i(vectoru_neg, v2)), i(vectoru_neg, v3)) → i(i(i(i(dihV, v0), v1), v2), v3)
i(i(a_, i(cos, i(i(vectoru_angle, u), v))), i(cos, i(i(vectoru_angle, x), y))) → i(i(a_, i(i(vectoru_angle, u), v)), i(i(vectoru_angle, x), y))
i(i(i(hasu_integral, f), y), i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(i(hasu_integral, f), y), i(openu_interval, i(i(c_, a), b)))
i(i(INJP, i(INJN, i(SUC, c))), i(i(INJP, i(INJA, i0)), i(INJF, r))) → i(i(i(ZCONSTR, c), i0), r)
i(i(a_, i(i(hull, P), i(i(INSERT, a), s0))), i(i(hull, P), s0)) → i(i(IN, a), i(i(hull, P), s0))
i(i(DIFF, i(i(i(support, op), f), s0)), i(i(i(support, op), f), t)) → i(i(i(support, op), f), i(i(DIFF, s0), t))
i(i(INTER, i(i(i(support, op), f), s0)), i(i(i(support, op), f), t)) → i(i(i(support, op), f), i(i(INTER, s0), t))
i(i(UNION, i(i(i(support, op), f), s0)), i(i(i(support, op), f), t)) → i(i(i(support, op), f), i(i(UNION, s0), t))
i(i(UNION, i(ball, i(i(c_, a), r))), i(ball, i(i(c_, a), s0))) → i(ball, i(i(c_, a), i(i(realu_max, r), s0)))
i(i(INTER, i(ball, i(i(c_, a), r))), i(ball, i(i(c_, a), s0))) → i(ball, i(i(c_, a), i(i(realu_min, r), s0)))
i(i(s_b_, i(i(integrableu_on, f), s0)), i(i(a_, i(i(integral, s0), f)), i0)) → i(i(i(hasu_integral, f), i0), s0)
i(i(s_b_, i(i(i(INJ, f), s0), t)), i(i(i(SURJ, f), s0), t)) → i(i(i(BIJ, f), s0), t)
i(i(hull, P), i(i(UNION, i(i(hull, P), s0)), i(i(hull, P), t))) → i(i(hull, P), i(i(UNION, s0), t))
i(i(IN, x), i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), EMPTY)))) → i(i(between, x), i(i(c_, a), b))
i(det, i(vector, i(i(CONS, x), i(i(CONS, y), i(i(CONS, z), NIL))))) → i(i(dot, x), i(i(cross, y), z))
i(i(s_b_, i(i(realu_integrableu_on, f), s0)), i(i(a_, i(i(realu_integral, s0), f)), i0)) → i(i(i(hasu_realu_integral, f), i0), s0)
i(i(s_b_, i(i(a_, x), i(vec, n))), i(i(a_, y), i(vec, n))) → i(i(a_, i(i(pastecart, x), y)), i(vec, n))
i(i(s_b_, i(l, i(i(c_, x), y))), i(w_, i(i(a_, x), y))) → i(i(less, l), i(i(c_, x), y))
i(i(IN, i(vectoru_neg, x)), i(openu_interval, i(i(c_, i(vectoru_neg, b)), i(vectoru_neg, a)))) → i(i(IN, x), i(openu_interval, i(i(c_, a), b)))
i(i(s_b_, i(i(i(kle, n), x), y)), i(i(i(kle, n), y), x)) → i(i(a_, x), y)
i(i(a_, i(complexu_inv, x)), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(a_, x), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))
i(i(a_, i(realu_sgn, x)), i(realu_ofu_int, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(realu_gt, x), i(realu_ofu_int, i(intu_ofu_num, i(NUMERAL, u_0))))
i(i(a_, i(i(dot, x), x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(i(a_, i(vectoru_norm, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(i(m_m_g_, i(i(o, f), drop)), a), i(at, i(lift, x))) → i(i(i(m_m_g_, f), a), i(atreal, x))
i(i(i(m_m_m_g_, i(i(o, f), drop)), a), i(at, i(lift, x))) → i(i(i(m_m_m_g_, f), a), i(atreal, x))
i(i(a_, i(affu_dim, s0)), i(intu_neg, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(a_, s0), EMPTY)
i(i(IMAGE, drop), i(openu_interval, i(i(c_, i(lift, a)), i(lift, b)))) → i(openu_realu_interval, i(i(c_, a), b))
i(i(i(COND, i(i(a_, n), u_0)), u_0), i(BIT1, i(PRE, n))) → i(PRE, i(BIT0, n))
i(complex, i(i(c_, i(realu_neg, i(Re, z))), i(realu_neg, i(Im, z)))) → i(vectoru_neg, z)
i(i(IMAGE, lift), i(openu_realu_interval, i(i(c_, i(drop, a)), i(drop, b)))) → i(openu_interval, i(i(c_, a), b))
i(i(s_b_, i(i(ALL, i(r, h)), t)), i(i(PAIRWISE, r), t)) → i(i(PAIRWISE, r), i(i(CONS, h), t))
i(i(complexu_mul, i(Cx, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), x) → i(vectoru_neg, x)
i(i(complexu_mul, i(vectoru_neg, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))), x) → i(vectoru_neg, x)
i(i(d_, i(vector, i(i(CONS, x), NIL))), i(NUMERAL, i(BIT1, u_0))) → x
i(i(p_, i(BIT0, n)), i(BIT0, i(BIT0, i(i(t_, m), n)))) → i(i(t_, i(BIT1, m)), i(BIT0, n))
i(i(p_, i(BIT0, m)), i(BIT0, i(BIT0, i(i(t_, m), n)))) → i(i(t_, i(BIT0, m)), i(BIT1, n))
i(i(a_, i(i(rotate2d, t), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, z), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(IMAGE, lift), i(openu_realu_segment, i(i(c_, i(drop, a)), i(drop, b)))) → i(openu_segment, i(i(c_, a), b))
i(i(intu_ge, x), i(i(intu_add, y), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(intu_gt, x), y)
i(i(s_b_, i(EVEN, m)), i(w_, i(i(a_, n), i(NUMERAL, u_0)))) → i(EVEN, i(i(EXP, m), n))
i(i(IMAGE, drop), i(openu_segment, i(i(c_, i(lift, a)), i(lift, b)))) → i(openu_realu_segment, i(i(c_, a), b))
i(i(a_, i(i(cpow, w), z)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, w), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(hull, affine), i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(hull, affine), i(i(INSERT, a), i(i(INSERT, b), EMPTY)))
i(i(a_, i(cball, i(i(c_, x), e))), i(i(INSERT, x), EMPTY)) → i(i(a_, e), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(distance, i(i(c_, x), y))) → i(w_, i(i(a_, x), y))
i(i(s_b_, i(i(intu_le, x), y)), i(w_, i(i(a_, x), y))) → i(i(intu_lt, x), y)
i(i(s_b_, i(i(l_a_u_c, s0), t)), i(w_, i(i(l_a_u_c, t), s0))) → i(i(l_u_c, s0), t)
i(i(s_b_, i(i(l_a_u_c, s0), t)), i(w_, i(i(a_u_c, s0), t))) → i(i(l_u_c, s0), t)
i(i(s_b_, i(i(l_a_, m), n)), i(w_, i(i(a_, m), n))) → i(i(l_, m), n)
i(i(s_b_, i(i(realu_le, x), y)), i(w_, i(i(a_, x), y))) → i(i(realu_lt, x), y)
i(i(s_b_, i(i(SUBSET, s0), t)), i(w_, i(i(a_, s0), t))) → i(i(PSUBSET, s0), t)
i(i(integral, i(closedu_interval, i(i(CONS, i(i(c_, a), a)), NIL))), f) → i(vec, i(NUMERAL, u_0))
i(i(realu_integral, i(closedu_realu_interval, i(i(CONS, i(i(c_, a), a)), NIL))), f) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(s_b_, i(i(realu_le, i(realu_neg, k)), x)), i(i(realu_le, x), k)) → i(i(realu_le, i(realu_abs, x)), k)
i(i(b_s_, i(i(a_, m), i(SUC, n))), i(i(l_a_, m), n)) → i(i(l_a_, m), i(SUC, n))
i(i(a_, i(i(vectoru_add, x), y)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, y), i(vectoru_neg, x))
i(i(i(m_m_g_, f), i(f, x)), i(i(within, i(at, x)), s0)) → i(i(continuous, f), i(i(within, i(at, x)), s0))
i(i(i(COND, i(i(a_, l), NIL)), i(HD, m)), i(HD, l)) → i(HD, i(i(APPEND, l), m))
i(i(b_s_, i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))), i(real0, z)) → i(real0, i(i(complexu_mul, i(Cx, x)), z))
i(i(IMAGE, i(scale, t)), i(i(normball, i(vec, i(NUMERAL, u_0))), r)) → i(i(ellipsoid, t), r)
i(i(i(COND, i(i(a_, q), NIL)), i(LAST, p)), i(LAST, q)) → i(LAST, i(i(APPEND, p), q))
i(i(a_, i(i(vectoru_add, x), y)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, x), i(vectoru_neg, y))
i(setdist, i(i(c_, i(i(INSERT, x), EMPTY)), i(i(INSERT, y), EMPTY))) → i(distance, i(i(c_, x), y))
i(i(realu_mul, i(exp, i(i(realu_add, x), y))), i(exp, i(realu_neg, x))) → i(exp, y)
i(i(IN, x), i(ball, i(i(c_, i(vec, i(NUMERAL, u_0))), e))) → i(i(realu_lt, i(vectoru_norm, x)), e)
i(i(s_b_, i(i(intu_le, i(intu_neg, k)), x)), i(i(intu_le, x), k)) → i(i(intu_le, i(intu_abs, x)), k)
i(i(s_b_, i(i(intu_lt, i(intu_neg, k)), x)), i(i(intu_lt, x), k)) → i(i(intu_lt, i(intu_abs, x)), k)
i(i(IN, x), i(cball, i(i(c_, i(vec, i(NUMERAL, u_0))), e))) → i(i(realu_le, i(vectoru_norm, x)), e)
i(i(s_b_, i(i(realu_lt, i(realu_neg, k)), x)), i(i(realu_lt, x), k)) → i(i(realu_lt, i(realu_abs, x)), k)
i(i(intu_le, i(i(intu_add, x), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), y) → i(i(intu_lt, x), y)
i(i(a_, i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), EMPTY) → i(i(realu_lt, b), a)
i(sin, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(a_, i(distance, i(i(c_, x), y))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), y)
i(i(realu_le, i(distance, i(i(c_, x), y))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), y)
i(i(complexu_mul, i(cexp, i(i(vectoru_add, w), z))), i(cexp, i(vectoru_neg, z))) → i(cexp, w)
i(i(a_, i(i(vectoru_sub, x), y)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, x), y)
i(Cx, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(casn, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))
i(Cx, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(cacs, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT0, i(BIT1, u_0)))))) → i(atn, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(realu_neg, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(asn, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))
i(i(IMAGE, finiteu_index), i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), i(dimindex, UNIV))) → UNIV
i(i(i(COND, b), i(i(d_, x), i0)), i(i(d_, y), i0)) → i(i(d_, i(i(i(COND, b), x), y)), i0)
i(cos, i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0)))))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(a_, i(sin, i(i(realu_mul, n), pi))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(integer, n)
i(i(a_, i(realu_sgn, x)), i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(trivialu_limit, i(i(within, i(at, i(lift, x))), i(i(IMAGE, lift), s0))) → i(trivialu_limit, i(i(within, i(atreal, x)), s0))
i(angle, i(i(c_, x), i(i(c_, i(vec, i(NUMERAL, u_0))), y))) → i(i(vectoru_angle, x), y)
i(i(s_b_, i(i(i(netord, n), x), y)), i(i(IN, x), s0)) → i(i(i(netord, i(i(within, n), s0)), x), y)
i(i(i(i(i(frustum, v0), v1), i(realu_ofu_num, i(NUMERAL, u_0))), h), a) → i(i(i(i(frustt, v0), v1), h), a)
i(i(INTER, i(i(normball, v0), r)), i(i(i(rconeu_gt, v0), v1), a)) → i(i(i(i(conicu_cap, v0), v1), r), a)
i(i(i(m_m_m_g_, f), i(f, x)), i(i(within, i(at, x)), s0)) → i(i(realu_continuous, f), i(i(within, i(at, x)), s0))
i(distance, i(i(c_, i(i(pastecart, x), y)), i(i(pastecart, x), yi_))) → i(distance, i(i(c_, y), yi_))
i(distance, i(i(c_, i(i(pastecart, x), y)), i(i(pastecart, xi_), y))) → i(distance, i(i(c_, x), xi_))
i(distance, i(i(c_, i(i(r_, c), x)), i(i(r_, c), y))) → i(i(realu_mul, i(realu_abs, c)), i(distance, i(i(c_, x), y)))
i(dist, i(i(c_, i(i(p_, m), n)), i(i(p_, m), p))) → i(dist, i(i(c_, n), p))
i(i(integrableu_on, f), i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(integrableu_on, f), i(openu_interval, i(i(c_, a), b)))
i(i(s_b_, i(i(IN, x), s0)), i(w_, i(i(a_, x), y))) → i(i(IN, x), i(i(DELETE, s0), y))
i(i(s_b_, i(i(IN, x), s0)), i(w_, i(i(IN, x), t))) → i(i(IN, x), i(i(DIFF, s0), t))
i(i(IMAGE, f), i(i(i(support, op), i(i(o, g), f)), s0)) → i(i(i(support, op), g), i(i(IMAGE, f), s0))
i(i(realu_integrableu_on, f), i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(realu_integrableu_on, f), i(openu_realu_interval, i(i(c_, a), b)))
i(dist, i(i(c_, i(i(p_, m), p)), i(i(p_, n), p))) → i(dist, i(i(c_, m), n))
i(i(IMAGE, g), i(closedu_segment, i(i(CONS, i(i(c_, u), v)), NIL))) → i(pathu_image, i(i(i(subpath, u), v), g))
i(i(i(m_m_m_g_, f), i(f, x)), i(i(within, i(atreal, x)), s0)) → i(i(realu_continuous, f), i(i(within, i(atreal, x)), s0))
i(dist, i(i(c_, i(i(t_, m), n)), i(i(t_, m), p))) → i(i(t_, m), i(dist, i(i(c_, n), p)))
i(i(s_b_, i(w_, i(i(IN, x), s0))), i(i(SUBSET, s0), t)) → i(i(SUBSET, s0), i(i(DELETE, t), x))
i(i(b_s_, i(i(R, a0), a1)), i(i(i(SC, R), a1), a0)) → i(i(i(SC, R), a0), a1)
i(i(i(a_a_, i(intu_ofu_num, x)), i(intu_ofu_num, y)), i(intu_mod, i(intu_ofu_num, n))) → i(i(i(a_a_, x), y), i(numu_mod, n))
i(dist, i(i(c_, i(i(t_, m), p)), i(i(t_, n), p))) → i(i(t_, i(dist, i(i(c_, m), n))), p)
i(i(i(m_m_g_, f), i(f, x)), i(i(within, i(atreal, x)), s0)) → i(i(continuous, f), i(i(within, i(atreal, x)), s0))
i(i(IN, x), i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(between, x), i(i(c_, a), b))
i(i(s_b_, i(i(DISJOINT, s0), t)), i(w_, i(i(IN, x), t))) → i(i(DISJOINT, i(i(INSERT, x), s0)), t)
i(i(s_b_, i(i(b_s_, i(w_, b)), t1)), i(i(b_s_, b), t2)) → i(i(i(COND, b), t1), t2)
i(i(integral, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), f) → i(i(integral, i(openu_interval, i(i(c_, a), b))), f)
i(i(realu_integral, i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))), f) → i(i(realu_integral, i(openu_realu_interval, i(i(c_, a), b))), f)
i(w_, i(i(a_, z), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(vectoru_norm, z))
i(i(a_, n), i(intu_neg, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(i(simplex, n), EMPTY)
i(i(complexu_pow, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), n) → i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(cpow, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), z) → i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(w_, i(i(a_, i(Arg, z)), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Arg, z))
i(i(a_, i(complexu_inv, x)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, x), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(intu_pow, i(intu_abs, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))) → i(i(intu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(i(intu_le, i(affu_dim, s0)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(collinear, s0)
i(i(a_, i(cnj, z)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, z), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(realu_pow, i(realu_abs, x)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))) → i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))
i(w_, i(i(a_, i(det, A)), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(invertible, A)
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(dot, x), x)) → i(w_, i(i(a_, x), i(vec, i(NUMERAL, u_0))))
i(i(a_, i(vectoru_neg, x)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, x), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(a_, i(realu_inv, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(i(a_, x), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(a_, i(csqrt, z)), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(a_, z), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_mul, x), x)) → i(w_, i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0))))
i(complex, i(i(c_, i(Re, z)), i(realu_neg, i(Im, z)))) → i(cnj, z)
i(i(simplex, i(intu_neg, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), s0) → i(i(a_, s0), EMPTY)
i(i(affu_ge, i(i(INSERT, x), EMPTY)), i(i(INSERT, x), EMPTY)) → i(i(INSERT, x), EMPTY)
i(i(i(hasu_integral, i(indicator, s0)), i(vec, i(NUMERAL, u_0))), UNIV) → i(negligible, s0)
i(i(hull, convexu_cone), i(i(UNION, s0), i(i(IMAGE, vectoru_neg), s0))) → i(span, s0)
i(i(realu_mul, i(exp, i(Re, z))), i(cos, i(Im, z))) → i(Re, i(cexp, z))
i(i(vectoru_add, i(ccos, z)), i(i(complexu_mul, ii), i(csin, z))) → i(cexp, i(i(complexu_mul, ii), z))
i(i(INTER, i(closure, s0)), i(closure, i(i(DIFF, UNIV), s0))) → i(frontier, s0)
i(i(realu_mul, i(exp, i(Re, z))), i(sin, i(Im, z))) → i(Im, i(cexp, z))
i(i(realu_pow, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), n) → i(cos, i(i(realu_mul, i(realu_ofu_num, n)), pi))
i(i(b_s_, i(i(a_, x), h)), i(i(MEM, x), t)) → i(i(MEM, x), i(i(CONS, h), t))
i(openu_interval, i(i(c_, i(vectoru_neg, i(lift, e))), i(lift, e))) → i(ball, i(i(c_, i(vec, i(NUMERAL, u_0))), e))
i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(acs, i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_div, pi), i(realu_ofu_num, i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(asn, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(i(hrealu_add, i(mku_hreal, i(naddu_eq, x))), i(mku_hreal, i(naddu_eq, y))) → i(mku_hreal, i(naddu_eq, i(i(naddu_add, x), y)))
i(i(hrealu_mul, i(mku_hreal, i(naddu_eq, x))), i(mku_hreal, i(naddu_eq, y))) → i(mku_hreal, i(naddu_eq, i(i(naddu_mul, x), y)))
i(i(hrealu_le, i(mku_hreal, i(naddu_eq, x))), i(mku_hreal, i(naddu_eq, y))) → i(i(naddu_le, x), y)
i(i(intu_mul, i(intu_neg, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), x) → i(intu_neg, x)
i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), i(i(intu_add, x), x)) → i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), x)
i(i(i(COND, i(i(a_, t), NIL)), h), i(LAST, t)) → i(LAST, i(i(CONS, h), t))
i(i(vectoru_sub, i(i(r_, a), x)), i(i(r_, b), x)) → i(i(r_, i(i(realu_sub, a), b)), x)
i(i(vectoru_add, i(i(r_, c), x)), i(i(r_, c), y)) → i(i(r_, c), i(i(vectoru_add, x), y))
i(i(vectoru_sub, i(i(r_, c), x)), i(i(r_, c), y)) → i(i(r_, c), i(i(vectoru_sub, x), y))
i(i(vectoru_add, i(i(r_, a), x)), i(i(r_, b), x)) → i(i(r_, i(i(realu_add, a), b)), x)
i(i(realu_add, i(realu_ofu_num, n)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(SUC, n))
i(i(intu_add, i(intu_ofu_num, n)), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(intu_ofu_num, i(SUC, n))
i(i(t_, i(i(EXP, u_0), n)), i(i(EXP, u_0), n)) → i(i(EXP, u_0), i(BIT0, n))
i(i(r_, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), x) → i(vectoru_neg, x)
i(i(r_r_, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), A) → i(matrixu_neg, A)
i(i(openu_in, i(i(subtopology, euclidean), i(i(hull, affine), s0))), s0) → i(i(a_, i(relativeu_interior, s0)), s0)
i(i(EL, i(i(p_, n), i(NUMERAL, i(BIT1, u_0)))), l) → i(i(EL, n), i(TL, l))
i(numu_ofu_int, i(intu_gcd, i(i(c_, i(intu_ofu_num, a)), i(intu_ofu_num, b)))) → i(numu_gcd, i(i(c_, a), b))
i(i(realu_max, i(i(realu_sub, b), a)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_measure, i(openu_realu_interval, i(i(c_, a), b)))
i(i(a_, i(i(dot, x), y)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(orthogonal, x), y)
i(i(hull, convex), i(i(INSERT, a), i(i(INSERT, b), EMPTY))) → i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(intu_le, i(i(intu_add, x), y)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(intu_le, x), i(intu_neg, y))
i(i(realu_lt, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_lt, x), i(realu_neg, y))
i(i(b_s_, i(ODD, m)), i(i(a_, n), i(NUMERAL, u_0))) → i(ODD, i(i(EXP, m), n))
i(i(realu_le, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_le, x), i(realu_neg, y))
i(content, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(measure, i(openu_interval, i(i(c_, a), b)))
i(i(vectoru_add, i(Cx, x)), i(i(complexu_mul, ii), i(Cx, y))) → i(complex, i(i(c_, x), y))
i(closure, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))) → i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))
i(i(a_, i(i(hull, convex), s0)), i(i(INSERT, a), EMPTY)) → i(i(a_, s0), i(i(INSERT, a), EMPTY))
i(i(s_b_, i(i(a_, l), NIL)), i(i(a_, m), NIL)) → i(i(a_, i(i(APPEND, l), m)), NIL)
i(i(s_b_, i(i(a_, s0), EMPTY)), i(i(a_, t), EMPTY)) → i(i(a_, i(i(UNION, s0), t)), EMPTY)
i(i(a_, i(i(hull, affine), s0)), i(i(INSERT, a), EMPTY)) → i(i(a_, s0), i(i(INSERT, a), EMPTY))
i(i(b_s_, i(i(a_, s0), EMPTY)), i(i(a_, t), EMPTY)) → i(i(a_, i(i(CROSS, s0), t)), EMPTY)
i(i(a_, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, y), i(realu_neg, x))
i(i(b_s_, i(i(intu_lt, x), y)), i(i(a_, x), y)) → i(i(intu_le, x), y)
i(i(b_s_, i(i(a_, m), n)), i(i(l_, m), n)) → i(i(l_, m), i(SUC, n))
i(i(s_b_, i(path, p)), i(i(SUBSET, i(pathu_image, p)), s0)) → i(i(i(homotopicu_paths, s0), p), p)
i(i(i(hasu_complexu_derivative, f), i(i(complexu_derivative, f), x)), i(at, x)) → i(i(complexu_differentiable, f), i(at, x))
i(i(b_s_, i(i(l_u_c, s0), t)), i(i(a_u_c, s0), t)) → i(i(l_a_u_c, s0), t)
i(i(s_b_, i(FINITE, s0)), i(i(a_, i(CARD, s0)), n)) → i(i(HASu_SIZE, s0), n)
i(i(b_s_, i(i(l_, m), n)), i(i(a_, m), n)) → i(i(l_a_, m), n)
i(i(b_s_, i(i(realu_lt, x), y)), i(i(a_, x), y)) → i(i(realu_le, x), y)
i(i(s_b_, i(realu_measurable, s0)), i(i(a_, i(realu_measure, s0)), m)) → i(i(hasu_realu_measure, s0), m)
i(i(MEM, i(i(c_, x), i(i(ASSOC, x), l))), l) → i(i(MEM, x), i(i(MAP, FST), l))
i(i(i(hasu_realu_derivative, f), i(i(realu_derivative, f), x)), i(atreal, x)) → i(i(realu_differentiable, f), i(atreal, x))
i(i(b_s_, i(i(realu_lt, x), y)), i(i(realu_lt, y), x)) → i(w_, i(i(a_, x), y))
i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), i(i(intu_add, x), y)) → i(i(intu_le, i(intu_neg, x)), y)
i(i(b_s_, i(i(intu_lt, x), y)), i(i(intu_lt, y), x)) → i(w_, i(i(a_, x), y))
i(i(a_, i(i(realu_add, x), y)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(realu_neg, y))
i(i(a_, i(i(intu_add, x), y)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, y), i(intu_neg, x))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_add, x), y)) → i(i(realu_lt, i(realu_neg, x)), y)
i(w_, i(i(a_, i(openu_interval, i(i(c_, a), b))), EMPTY)) → i(i(realu_lt, i(drop, a)), i(drop, b))
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_add, x), y)) → i(i(realu_le, i(realu_neg, x)), y)
i(i(s_b_, i(measurable, s0)), i(i(a_, i(measure, s0)), m)) → i(i(hasu_measure, s0), m)
i(FINITE, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(realu_le, i(drop, b)), i(drop, a))
i(i(convexu_on, i(i(o, f), drop)), i(i(IMAGE, lift), s0)) → i(i(realu_convexu_on, f), s0)
i(i(a_, i(i(intu_add, x), y)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(intu_neg, y))
i(interior, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(openu_interval, i(i(c_, a), b))
i(i(UNION, i(i(DIFF, X), Y)), i(i(DIFF, Y), X)) → i(i(SDIFF, X), Y)
i(i(a_, i(i(dot, x), x)), i(i(dot, y), y)) → i(i(a_, i(vectoru_norm, x)), i(vectoru_norm, y))
i(i(realu_le, i(i(dot, x), x)), i(i(dot, y), y)) → i(i(realu_le, i(vectoru_norm, x)), i(vectoru_norm, y))
i(i(realu_lt, i(i(dot, x), x)), i(i(dot, y), y)) → i(i(realu_lt, i(vectoru_norm, x)), i(vectoru_norm, y))
i(negligible, i(closedu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(a_, i(openu_interval, i(i(c_, a), b))), EMPTY)
i(realu_negligible, i(closedu_realu_interval, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(a_, i(openu_realu_interval, i(i(c_, a), b))), EMPTY)
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_sub, x), y)) → i(i(realu_le, y), x)
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_sub, x), y)) → i(i(realu_lt, y), x)
i(i(a_, i(i(intu_sub, x), y)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), y)
i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), i(i(intu_sub, x), y)) → i(i(intu_le, y), x)
i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), i(i(intu_sub, x), y)) → i(i(intu_lt, y), x)
i(i(s_b_, i(i(hrealu_le, x), y)), i(i(hrealu_le, y), x)) → i(i(a_, x), y)
i(i(s_b_, i(i(naddu_le, x), y)), i(i(naddu_le, y), x)) → i(i(naddu_eq, x), y)
i(i(a_, i(i(realu_sub, x), y)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), y)
i(w_, i(i(a_, i(openu_realu_interval, i(i(c_, a), b))), EMPTY)) → i(i(realu_lt, a), b)
i(i(INTER, i(from, k)), i(i(o_o_, i(NUMERAL, u_0)), n)) → i(i(o_o_, k), n)
i(tan, i(i(realu_add, x), i(i(realu_mul, i(realu_ofu_num, n)), pi))) → i(tan, x)
i(i(a_, i(binom, i(i(c_, n), k))), i(NUMERAL, u_0)) → i(i(l_, n), k)
i(i(s_b_, i(i(realu_le, x), y)), i(i(realu_le, y), x)) → i(i(a_, x), y)
i(i(s_b_, i(i(intu_le, x), y)), i(i(intu_le, y), x)) → i(i(a_, x), y)
i(i(s_b_, i(i(l_a_, m), n)), i(i(l_a_, n), m)) → i(i(a_, m), n)
i(i(m_, i(i(p_, n), i(NUMERAL, i(BIT1, u_0)))), m) → i(CARD, i(i(o_o_, m), n))
i(i(s_b_, i(i(SUBSET, s0), t)), i(i(SUBSET, t), s0)) → i(i(a_, s0), t)
i(i(s_b_, i(i(trealu_le, x), y)), i(i(trealu_le, y), x)) → i(i(trealu_eq, x), y)
i(FINITE, i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL))) → i(i(a_, a), b)
i(i(s_b_, i(i(l_a_u_c, s0), t)), i(i(l_a_u_c, t), s0)) → i(i(a_u_c, s0), t)
i(i(complexu_mul, i(cexp, i(i(complexu_mul, ii), i(Cx, t)))), z) → i(i(rotate2d, t), z)
i(i(a_, i(i(vectoru_sub, x), y)), i(vec, i(NUMERAL, u_0))) → i(i(a_, x), y)
i(i(SUBSET, s0), i(i(INSERT, i(vec, i(NUMERAL, u_0))), EMPTY)) → i(i(a_, i(dim, s0)), i(NUMERAL, u_0))
i(i(b_s_, i(i(a_, s0), EMPTY)), i(i(a_, s0), UNIV)) → i(i(s_b_, i(closed, s0)), i(open, s0))
i(i(b_s_, i(i(a_, s0), EMPTY)), i(i(a_, s0), UNIV)) → i(i(a_, i(frontier, s0)), EMPTY)
i(i(FCONS, i(f, i(NUMERAL, u_0))), i(i(o, f), SUC)) → f
i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), x) → x
i(i(complexu_pow, i(csqrt, z)), i(NUMERAL, i(BIT0, i(BIT1, u_0)))) → z
i(i(complexu_mul, x), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → x
i(i(complexu_div, z), i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → z
i(clog, i(vectoru_neg, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))) → i(i(complexu_mul, ii), i(Cx, pi))
i(i(b_s_, i(i(R, x), y)), i(i(R, y), x)) → i(i(i(SC, R), x), y)
i(cacs, i(vectoru_neg, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))))) → i(Cx, pi)
i(sqrt, i(i(realu_pow, x), i(NUMERAL, i(BIT0, i(BIT1, u_0))))) → i(realu_abs, x)
i(i(realu_mul, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))), x) → i(realu_neg, x)
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(i(realu_add, x), x)) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(realu_lt, i(Im, i(complexu_inv, z))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, z))
i(i(realu_le, i(Im, i(complexu_inv, z))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, z))
i(i(a_, i(i(dot, x), x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(vec, i(NUMERAL, u_0)))
i(i(a_, i(i(dot, x), x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, i(vectoru_norm, x)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, i(complexu_inv, z))) → i(i(realu_le, i(Im, z)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(Im, i(complexu_inv, z))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, i(Im, z)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(Arg, i(complexu_inv, z))), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, i(Arg, z)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(vectoru_norm, i(complex, i(i(c_, i(cos, t)), i(sin, t)))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, i(complexu_inv, z))) → i(i(realu_lt, i(Im, z)), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(realu_sgn, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(i(realu_gt, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(exp, x)), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_add, i(mku_real, i(trealu_eq, x1))), i(mku_real, i(trealu_eq, y1))) → i(mku_real, i(trealu_eq, i(i(trealu_add, x1), y1)))
i(i(realu_mul, i(mku_real, i(trealu_eq, x1))), i(mku_real, i(trealu_eq, y1))) → i(mku_real, i(trealu_eq, i(i(trealu_mul, x1), y1)))
i(i(realu_le, i(mku_real, i(trealu_eq, x1))), i(mku_real, i(trealu_eq, y1))) → i(i(trealu_le, x1), y1)
i(i(i(ITER, n), f), i(i(i(ITER, m), f), x)) → i(i(i(ITER, i(i(p_, n), m)), f), x)
i(i(PASSOC, f), i(i(c_, x), i(i(c_, y), z))) → i(f, i(i(c_, i(i(c_, x), y)), z))
i(i(i(ITLIST, f), l1), i(i(i(ITLIST, f), l2), a)) → i(i(i(ITLIST, f), i(i(APPEND, l1), l2)), a)
i(i(DISJOINT, i(i(pathu_component, s0), a)), i(i(pathu_component, s0), b)) → i(w_, i(i(IN, a), i(i(pathu_component, s0), b)))
i(i(complexu_mul, i(i(complexu_pow, x), n)), i(i(complexu_pow, y), n)) → i(i(complexu_pow, i(i(complexu_mul, x), y)), n)
i(i(vectoru_sub, i(i(matrixu_vectoru_mul, A), x)), i(i(matrixu_vectoru_mul, B), x)) → i(i(matrixu_vectoru_mul, i(i(matrixu_sub, A), B)), x)
i(i(vectoru_sub, i(i(dropout, k), x)), i(i(dropout, k), y)) → i(i(dropout, k), i(i(vectoru_sub, x), y))
i(i(vectoru_add, i(i(complexu_mul, x), y)), i(i(complexu_mul, x), z)) → i(i(complexu_mul, x), i(i(vectoru_add, y), z))
i(i(intu_mul, i(i(intu_pow, x), m)), i(i(intu_pow, x), n)) → i(i(intu_pow, x), i(i(p_, m), n))
i(i(realu_sub, i(i(dot, x), y)), i(i(dot, x), z)) → i(i(dot, x), i(i(vectoru_sub, y), z))
i(i(realu_add, i(i(realu_mul, x), y)), i(i(realu_mul, x), z)) → i(i(realu_mul, x), i(i(realu_add, y), z))
i(i(hrealu_add, i(i(hrealu_mul, m), p)), i(i(hrealu_mul, n), p)) → i(i(hrealu_mul, i(i(hrealu_add, m), n)), p)
i(i(s_b_, i(i(realu_le, x), z)), i(i(realu_le, y), z)) → i(i(realu_le, i(i(realu_max, x), y)), z)
i(i(s_b_, i(i(realu_lt, x), z)), i(i(realu_lt, y), z)) → i(i(realu_lt, i(i(realu_max, x), y)), z)
i(i(s_b_, i(i(IN, x), t)), i(i(SUBSET, s0), t)) → i(i(SUBSET, i(i(INSERT, x), s0)), t)
i(i(realu_mul, i(i(rpow, x), z)), i(i(rpow, y), z)) → i(i(rpow, i(i(realu_mul, x), y)), z)
i(i(APPEND, i(i(FILTER, P), l1)), i(i(FILTER, P), l2)) → i(i(FILTER, P), i(i(APPEND, l1), l2))
i(i(realu_sub, i(i(d_, x), i0)), i(i(d_, y), i0)) → i(i(d_, i(i(vectoru_sub, x), y)), i0)
i(i(vectoru_add, i(i(matrixu_vectoru_mul, A), x)), i(i(matrixu_vectoru_mul, A), y)) → i(i(matrixu_vectoru_mul, A), i(i(vectoru_add, x), y))
i(i(complexu_div, i(i(cpow, w), z1)), i(i(cpow, w), z2)) → i(i(cpow, w), i(i(vectoru_sub, z1), z2))
i(i(matrixu_add, i(i(matrixu_mul, A), B)), i(i(matrixu_mul, A), C)) → i(i(matrixu_mul, A), i(i(matrixu_add, B), C))
i(i(s_b_, i(i(intu_le, x), z)), i(i(intu_le, y), z)) → i(i(intu_le, i(i(intu_max, x), y)), z)
i(i(s_b_, i(i(intu_lt, x), z)), i(i(intu_lt, y), z)) → i(i(intu_lt, i(i(intu_max, x), y)), z)
i(i(b_s_, i(i(a_, x), y)), i(i(IN, x), s0)) → i(i(IN, x), i(i(INSERT, y), s0))
i(i(b_s_, i(i(realu_lt, z), x)), i(i(realu_lt, z), y)) → i(i(realu_lt, z), i(i(realu_max, x), y))
i(i(realu_sub, i(i(realu_mul, x), y)), i(i(realu_mul, x), z)) → i(i(realu_mul, x), i(i(realu_sub, y), z))
i(i(s_b_, i(i(realu_lt, z), x)), i(i(realu_lt, z), y)) → i(i(realu_lt, z), i(i(realu_min, x), y))
i(i(b_s_, i(i(s_b_, p), r)), i(i(s_b_, q), r)) → i(i(s_b_, i(i(b_s_, p), q)), r)
i(i(realu_add, i(i(realu_mul, x), z)), i(i(realu_mul, y), z)) → i(i(realu_mul, i(i(realu_add, x), y)), z)
i(i(s_b_, i(i(ALL, P), l1)), i(i(ALL, P), l2)) → i(i(ALL, P), i(i(APPEND, l1), l2))
i(i(realu_add, i(i(dot, x), z)), i(i(dot, y), z)) → i(i(dot, i(i(vectoru_add, x), y)), z)
i(i(b_s_, i(i(intu_lt, z), x)), i(i(intu_lt, z), y)) → i(i(intu_lt, z), i(i(intu_max, x), y))
i(i(vectoru_add, i(i(matrixu_vectoru_mul, A), x)), i(i(matrixu_vectoru_mul, B), x)) → i(i(matrixu_vectoru_mul, i(i(matrixu_add, A), B)), x)
i(i(s_b_, i(i(intu_lt, z), x)), i(i(intu_lt, z), y)) → i(i(intu_lt, z), i(i(intu_min, x), y))
i(i(matrixu_sub, i(i(matrixu_mul, A), B)), i(i(matrixu_mul, A), C)) → i(i(matrixu_mul, A), i(i(matrixu_sub, B), C))
i(i(b_s_, i(i(IN, x), s0)), i(i(IN, x), t)) → i(i(IN, x), i(i(UNION, s0), t))
i(i(vectoru_angle, i(i(vectoru_sub, a), b)), i(i(vectoru_sub, c), b)) → i(angle, i(i(c_, a), i(i(c_, b), c)))
i(i(matrixu_add, i(i(matrixu_mul, A), C)), i(i(matrixu_mul, B), C)) → i(i(matrixu_mul, i(i(matrixu_add, A), B)), C)
i(i(vectoru_add, i(i(dropout, k), x)), i(i(dropout, k), y)) → i(i(dropout, k), i(i(vectoru_add, x), y))
i(i(s_b_, i(i(IN, x), s0)), i(i(IN, x), t)) → i(i(IN, x), i(i(INTER, s0), t))
i(i(t_, i(i(EXP, m), n)), i(i(EXP, m), p)) → i(i(EXP, m), i(i(p_, n), p))
i(i(realu_add, i(i(dot, x), y)), i(i(dot, x), z)) → i(i(dot, x), i(i(vectoru_add, y), z))
i(i(realu_mul, i(i(realu_pow, x), m)), i(i(realu_pow, x), n)) → i(i(realu_pow, x), i(i(p_, m), n))
i(i(intu_add, i(i(intu_mul, x), y)), i(i(intu_mul, x), z)) → i(i(intu_mul, x), i(i(intu_add, y), z))
i(i(INTER, i(i(normball, v0), r)), i(i(cone0, v0), S)) → i(i(i(solidu_triangle, v0), S), r)
i(i(s_b_, i(i(analyticu_on, f), s0)), i(i(analyticu_on, f), t)) → i(i(analyticu_on, f), i(i(UNION, s0), t))
i(i(realu_sub, i(i(realu_mul, x), z)), i(i(realu_mul, y), z)) → i(i(realu_mul, i(i(realu_sub, x), y)), z)
i(i(matrixu_add, i(i(r_r_, c), A)), i(i(r_r_, c), B)) → i(i(r_r_, c), i(i(matrixu_add, A), B))
i(i(complexu_mul, i(i(cpow, w), z1)), i(i(cpow, w), z2)) → i(i(cpow, w), i(i(vectoru_add, z1), z2))
i(i(b_s_, i(i(realu_le, x), z)), i(i(realu_le, y), z)) → i(i(realu_le, i(i(realu_min, x), y)), z)
i(i(b_s_, i(i(realu_lt, x), z)), i(i(realu_lt, y), z)) → i(i(realu_lt, i(i(realu_min, x), y)), z)
i(i(realu_div, i(i(realu_pow, x), n)), i(i(realu_pow, y), n)) → i(i(realu_pow, i(i(realu_div, x), y)), n)
i(i(matrixu_sub, i(i(matrixu_mul, A), C)), i(i(matrixu_mul, B), C)) → i(i(matrixu_mul, i(i(matrixu_sub, A), B)), C)
i(i(intu_mul, i(i(intu_pow, x), n)), i(i(intu_pow, y), n)) → i(i(intu_pow, i(i(intu_mul, x), y)), n)
i(i(complexu_mul, i(i(complexu_pow, x), m)), i(i(complexu_pow, x), n)) → i(i(complexu_pow, x), i(i(p_, m), n))
i(i(intu_sub, i(i(intu_mul, x), y)), i(i(intu_mul, x), z)) → i(i(intu_mul, x), i(i(intu_sub, y), z))
i(i(b_s_, i(i(intu_le, x), z)), i(i(intu_le, y), z)) → i(i(intu_le, i(i(intu_min, x), y)), z)
i(i(b_s_, i(i(intu_lt, x), z)), i(i(intu_lt, y), z)) → i(i(intu_lt, i(i(intu_min, x), y)), z)
i(i(MAP, f), i(i(FILTER, i(i(o, P), f)), l)) → i(i(FILTER, P), i(i(MAP, f), l))
i(i(intu_add, i(i(intu_mul, x), z)), i(i(intu_mul, y), z)) → i(i(intu_mul, i(i(intu_add, x), y)), z)
i(i(matrixu_sub, i(i(r_r_, c), A)), i(i(r_r_, c), B)) → i(i(r_r_, c), i(i(matrixu_sub, A), B))
i(i(UNION, i(i(IMAGE, f), s0)), i(i(IMAGE, f), t)) → i(i(IMAGE, f), i(i(UNION, s0), t))
i(i(matrixu_add, i(i(r_r_, b), A)), i(i(r_r_, c), A)) → i(i(r_r_, i(i(realu_add, b), c)), A)
i(i(m_, i(i(t_, m), n)), i(i(t_, m), p)) → i(i(t_, m), i(i(m_, n), p))
i(i(DISJOINT, i(i(connectedu_component, s0), a)), i(i(connectedu_component, s0), b)) → i(w_, i(i(IN, a), i(i(connectedu_component, s0), b)))
i(i(vectoru_add, i(i(cross, x), z)), i(i(cross, y), z)) → i(i(cross, i(i(vectoru_add, x), y)), z)
i(i(complexu_div, i(i(complexu_pow, x), n)), i(i(complexu_pow, y), n)) → i(i(complexu_pow, i(i(complexu_div, x), y)), n)
i(i(s_b_, i(i(l_a_, m), p)), i(i(l_a_, p), n)) → i(i(IN, p), i(i(o_o_, m), n))
i(i(b_s_, i(i(s_b_, p), q)), i(i(s_b_, p), r)) → i(i(s_b_, p), i(i(b_s_, q), r))
i(i(vectoru_sub, i(i(complexu_mul, x), y)), i(i(complexu_mul, x), z)) → i(i(complexu_mul, x), i(i(vectoru_sub, y), z))
i(i(t_, i(i(EXP, m), p)), i(i(EXP, n), p)) → i(i(EXP, i(i(t_, m), n)), p)
i(i(hull, P), i(i(UNION, i(i(hull, P), s0)), t)) → i(i(hull, P), i(i(UNION, s0), t))
i(i(intu_sub, i(i(intu_mul, x), z)), i(i(intu_mul, y), z)) → i(i(intu_mul, i(i(intu_sub, x), y)), z)
i(i(vectoru_add, i(i(complexu_mul, x), z)), i(i(complexu_mul, y), z)) → i(i(complexu_mul, i(i(vectoru_add, x), y)), z)
i(i(b_s_, i(i(realu_le, z), x)), i(i(realu_le, z), y)) → i(i(realu_le, z), i(i(realu_max, x), y))
i(i(UNION, i(i(INTER, s0), t)), i(i(INTER, s0), u)) → i(i(INTER, s0), i(i(UNION, t), u))
i(i(s_b_, i(i(realu_le, z), x)), i(i(realu_le, z), y)) → i(i(realu_le, z), i(i(realu_min, x), y))
i(i(vectoru_add, i(i(cross, x), y)), i(i(cross, x), z)) → i(i(cross, x), i(i(vectoru_add, y), z))
i(i(matrixu_sub, i(i(r_r_, b), A)), i(i(r_r_, c), A)) → i(i(r_r_, i(i(realu_sub, b), c)), A)
i(i(p_, i(i(t_, m), p)), i(i(t_, n), p)) → i(i(t_, i(i(p_, m), n)), p)
i(i(hull, P), i(i(UNION, s0), i(i(hull, P), t))) → i(i(hull, P), i(i(UNION, s0), t))
i(i(i(intu_mod, i(intu_ofu_num, n)), i(intu_ofu_num, x)), i(intu_ofu_num, y)) → i(i(i(numu_mod, n), x), y)
i(i(b_s_, i(i(R, x), y)), i(i(a_, x), y)) → i(i(i(RC, R), x), y)
i(i(INTER, i(i(UNION, s0), t)), i(i(UNION, s0), u)) → i(i(UNION, s0), i(i(INTER, t), u))
i(i(vectoru_sub, i(i(matrixu_vectoru_mul, A), x)), i(i(matrixu_vectoru_mul, A), y)) → i(i(matrixu_vectoru_mul, A), i(i(vectoru_sub, x), y))
i(i(b_s_, i(i(intu_le, z), x)), i(i(intu_le, z), y)) → i(i(intu_le, z), i(i(intu_max, x), y))
i(i(s_b_, i(i(SUBSET, s0), t)), i(i(SUBSET, s0), u)) → i(i(SUBSET, s0), i(i(INTER, t), u))
i(i(realu_mul, i(i(realu_pow, x), n)), i(i(realu_pow, y), n)) → i(i(realu_pow, i(i(realu_mul, x), y)), n)
i(i(s_b_, i(i(intu_le, z), x)), i(i(intu_le, z), y)) → i(i(intu_le, z), i(i(intu_min, x), y))
i(i(s_b_, i(i(SUBSET, s0), u)), i(i(SUBSET, t), u)) → i(i(SUBSET, i(i(UNION, s0), t)), u)
i(i(m_, i(i(t_, m), p)), i(i(t_, n), p)) → i(i(t_, i(i(m_, m), n)), p)
i(i(hrealu_add, i(i(hrealu_mul, x), y)), i(i(hrealu_mul, x), z)) → i(i(hrealu_mul, x), i(i(hrealu_add, y), z))
i(i(vectoru_sub, i(i(rotate2d, t), w)), i(i(rotate2d, t), z)) → i(i(rotate2d, t), i(i(vectoru_sub, w), z))
i(i(APPEND, i(i(MAP, f), l1)), i(i(MAP, f), l2)) → i(i(MAP, f), i(i(APPEND, l1), l2))
i(i(vectoru_sub, i(i(complexu_mul, x), z)), i(i(complexu_mul, y), z)) → i(i(complexu_mul, i(i(vectoru_sub, x), y)), z)
i(i(b_s_, i(i(limitu_pointu_of, x), s0)), i(i(limitu_pointu_of, x), t)) → i(i(limitu_pointu_of, x), i(i(UNION, s0), t))
i(i(pastecart, i(i(r_, c), x1)), i(i(r_, c), y1)) → i(i(r_, c), i(i(pastecart, x1), y1))
i(i(realu_add, i(i(d_, x), i0)), i(i(d_, y), i0)) → i(i(d_, i(i(vectoru_add, x), y)), i0)
i(i(b_s_, i(i(MEM, x), l1)), i(i(MEM, x), l2)) → i(i(MEM, x), i(i(APPEND, l1), l2))
i(i(b_s_, i(i(R, a0), a1)), i(i(a_, a1), a0)) → i(i(i(RC, R), a0), a1)
i(i(p_p_, i(i(o, f), p)), i(i(o, f), q)) → i(i(o, f), i(i(p_p_, p), q))
i(i(realu_sub, i(i(dot, x), z)), i(i(dot, y), z)) → i(i(dot, i(i(vectoru_sub, x), y)), z)
i(i(s_b_, i(i(DISJOINT, s0), u)), i(i(DISJOINT, t), u)) → i(i(DISJOINT, i(i(UNION, s0), t)), u)
i(i(p_, i(i(t_, m), n)), i(i(t_, m), p)) → i(i(t_, m), i(i(p_, n), p))
i(i(a_, i(i(intu_add, x), y)), i(i(intu_add, x), z)) → i(i(a_, y), z)
i(i(realu_lt, i(i(realu_add, x), y)), i(i(realu_add, x), z)) → i(i(realu_lt, y), z)
i(i(intu_le, i(i(intu_add, x), z)), i(i(intu_add, y), z)) → i(i(intu_le, x), y)
i(i(a_, i(i(vectoru_add, x), y)), i(i(vectoru_add, x), z)) → i(i(a_, y), z)
i(i(realu_lt, i(i(realu_add, x), z)), i(i(realu_add, y), z)) → i(i(realu_lt, x), y)
i(i(l_a_, i(i(p_, m), n)), i(i(p_, m), p)) → i(i(l_a_, n), p)
i(i(a_, i(i(realu_add, x), y)), i(i(realu_add, x), z)) → i(i(a_, y), z)
i(i(a_, i(i(p_, m), n)), i(i(p_, m), p)) → i(i(a_, n), p)
i(i(realu_le, i(i(realu_add, x), y)), i(i(realu_add, x), z)) → i(i(realu_le, y), z)
i(i(i(support, op), f), i(i(i(support, op), f), s0)) → i(i(i(support, op), f), s0)
i(i(hrealu_le, i(i(hrealu_add, m), n)), i(i(hrealu_add, m), p)) → i(i(hrealu_le, n), p)
i(i(m_, i(i(p_, m), p)), i(i(p_, n), p)) → i(i(m_, m), n)
i(i(realu_le, i(i(realu_add, x), z)), i(i(realu_add, y), z)) → i(i(realu_le, x), y)
i(i(i(iterate, op), i(i(i(support, op), f), s0)), f) → i(i(i(iterate, op), s0), f)
i(i(a_, i(i(hrealu_add, m), n)), i(i(hrealu_add, m), p)) → i(i(a_, n), p)
i(i(l_a_, i(i(p_, m), p)), i(i(p_, n), p)) → i(i(l_a_, m), n)
i(i(intu_add, i(i(intu_sub, a), b)), i(i(intu_sub, b), c)) → i(i(intu_sub, a), c)
i(permutation, i(i(o, p), i(swap, i(i(c_, a), b)))) → i(permutation, p)
i(permutation, i(i(o, i(swap, i(i(c_, a), b))), p)) → i(permutation, p)
i(i(a_, i(i(p_, m), p)), i(i(p_, n), p)) → i(i(a_, m), n)
i(i(i(sums, i(i(o, Cx), f)), i(Cx, l)), s0) → i(i(i(realu_sums, f), l), s0)
i(i(hrealu_le, i(i(hrealu_add, m), p)), i(i(hrealu_add, n), p)) → i(i(hrealu_le, m), n)
i(i(a_, i(i(rotate2d, t), x)), i(i(rotate2d, t), y)) → i(i(a_, x), y)
i(i(realu_add, i(i(realu_sub, a), b)), i(i(realu_sub, b), c)) → i(i(realu_sub, a), c)
i(i(vectoru_add, i(i(vectoru_sub, a), b)), i(i(vectoru_sub, b), c)) → i(i(vectoru_sub, a), c)
i(i(m_, i(i(p_, m), n)), i(i(p_, m), p)) → i(i(m_, n), p)
i(i(naddu_le, i(i(naddu_add, x), y)), i(i(naddu_add, x), z)) → i(i(naddu_le, y), z)
i(i(l_, i(i(p_, m), p)), i(i(p_, n), p)) → i(i(l_, m), n)
i(i(a_, i(i(hrealu_add, m), p)), i(i(hrealu_add, n), p)) → i(i(a_, m), n)
i(i(intu_lt, i(i(intu_add, x), y)), i(i(intu_add, x), z)) → i(i(intu_lt, y), z)
i(i(naddu_le, i(i(naddu_add, x), z)), i(i(naddu_add, y), z)) → i(i(naddu_le, x), y)
i(i(a_, i(i(intu_add, x), z)), i(i(intu_add, y), z)) → i(i(a_, x), y)
i(i(MOD, i(i(p_, i(i(t_, m), n)), p)), n) → i(i(MOD, p), n)
i(i(a_, i(i(vectoru_add, x), z)), i(i(vectoru_add, y), z)) → i(i(a_, x), y)
i(i(intu_lt, i(i(intu_add, x), z)), i(i(intu_add, y), z)) → i(i(intu_lt, x), y)
i(i(a_, i(i(realu_add, x), z)), i(i(realu_add, y), z)) → i(i(a_, x), y)
i(i(intu_le, i(i(intu_add, x), y)), i(i(intu_add, x), z)) → i(i(intu_le, y), z)
i(i(l_, i(i(p_, m), n)), i(i(p_, m), p)) → i(i(l_, n), p)
i(i(r_, x), i(vec, i(NUMERAL, i(BIT1, u_0)))) → i(lift, x)
i(complex, i(i(c_, a), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, a)
i(realu_abs, i(i(d_, x), i(NUMERAL, i(BIT1, u_0)))) → i(vectoru_norm, x)
i(i(d_, z), i(NUMERAL, i(BIT0, i(BIT1, u_0)))) → i(Im, z)
i(i(a_, i(affu_dim, s0)), i(intu_ofu_num, i(dimindex, UNIV))) → i(i(a_, i(i(hull, affine), s0)), UNIV)
i(closedu_segment, i(i(CONS, i(i(c_, a), a)), NIL)) → i(i(INSERT, a), EMPTY)
i(cball, i(i(c_, x), i(realu_ofu_num, i(NUMERAL, u_0)))) → i(i(INSERT, x), EMPTY)
i(i(DIFF, UNIV), i(closure, i(i(DIFF, UNIV), s0))) → i(interior, s0)
i(i(s_b_, i(linear, f)), i(orthogonalu_matrix, i(matrix, f))) → i(orthogonalu_transformation, f)
i(i(DIFF, UNIV), i(i(UNION, s0), i(outside, s0))) → i(inside, s0)
i(i(DIFF, UNIV), i(i(UNION, s0), i(inside, s0))) → i(outside, s0)
i(i(DIFF, UNIV), i(interior, i(i(DIFF, UNIV), s0))) → i(closure, s0)
i(i(i(ALL2, P), NIL), i(i(CONS, h2), t2)) → F
i(i(i(ALL2, P), i(i(CONS, h1), t1)), NIL) → F
i(i(b_s_, i(P, h)), i(i(EX, P), t)) → i(i(EX, P), i(i(CONS, h), t))
i(SUC, i(i(p_, i(NUMERAL, n)), i(NUMERAL, n))) → i(NUMERAL, i(BIT1, n))
i(i(s_b_, i(P, h)), i(i(ALL, P), t)) → i(i(ALL, P), i(i(CONS, h), t))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(frac, x)) → i(w_, i(integer, x))
i(acs, i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → pi
i(i(intu_le, i(intu_neg, x)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), x)
i(i(intu_lt, i(intu_neg, x)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), x)
i(LAST, i(i(CONS, h), i(i(CONS, k), t))) → i(LAST, i(i(CONS, k), t))
i(i(INSERT, i(f, x)), i(i(IMAGE, f), s0)) → i(i(IMAGE, f), i(i(INSERT, x), s0))
i(i(m_m_m_g_, i(i(o, drop), s0)), i(drop, l)) → i(i(m_m_g_, s0), l)
i(span, i(i(INSERT, i(vec, i(NUMERAL, u_0))), s0)) → i(span, s0)
i(i(IN, i(INR, y)), i(i(p_u_c, s0), t)) → i(i(IN, y), t)
i(i(IN, i(INL, x)), i(i(p_u_c, s0), t)) → i(i(IN, x), s0)
i(dim, i(i(INSERT, i(vec, i(NUMERAL, u_0))), s0)) → i(dim, s0)
i(i(a_, i(i(INTER, i(frontier, s0)), s0)), EMPTY) → i(open, s0)
i(vectoru_norm, i(i(pastecart, i(vec, i(NUMERAL, u_0))), y)) → i(vectoru_norm, y)
i(vectoru_norm, i(i(pastecart, x), i(vec, i(NUMERAL, u_0)))) → i(vectoru_norm, x)
i(i(vectoru_sub, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), x) → i(vectoru_neg, x)
i(span, i(i(DELETE, s0), i(vec, i(NUMERAL, u_0)))) → i(span, s0)
i(i(hrealu_mul, i(hrealu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), x) → x
i(realu_sgn, i(Im, i(i(complexu_mul, w), i(cnj, z)))) → i(realu_sgn, i(Im, i(i(complexu_div, w), z)))
i(vector, i(i(CONS, x), i(i(CONS, y), NIL))) → i(complex, i(i(c_, x), y))
i(i(a_, i(cball, i(i(c_, x), e))), EMPTY) → i(i(realu_lt, e), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(ball, i(i(c_, x), e))), EMPTY) → i(i(realu_le, e), i(realu_ofu_num, i(NUMERAL, u_0)))
i(inf, i(i(INSERT, x), i(i(INSERT, y), EMPTY))) → i(i(realu_min, x), y)
i(sup, i(i(INSERT, x), i(i(INSERT, y), EMPTY))) → i(i(realu_max, x), y)
i(intu_ofu_real, i(i(realu_sub, i(realu_ofu_int, x)), i(realu_ofu_int, y))) → i(i(intu_sub, x), y)
i(realu_neg, i(i(realu_min, i(realu_neg, x)), i(realu_neg, y))) → i(i(realu_max, x), y)
i(intu_neg, i(i(intu_max, i(intu_neg, x)), i(intu_neg, y))) → i(i(intu_min, x), y)
i(intu_ofu_real, i(i(realu_add, i(realu_ofu_int, x)), i(realu_ofu_int, y))) → i(i(intu_add, x), y)
i(intu_coprime, i(i(c_, i(intu_ofu_num, a)), i(intu_ofu_num, b))) → i(numu_coprime, i(i(c_, a), b))
i(w_, i(i(a_, i(ODD, m)), i(ODD, n))) → i(ODD, i(i(p_, m), n))
i(linepath, i(i(c_, i(g, a)), i(g, a))) → i(i(i(subpath, a), a), g)
i(realu_neg, i(i(realu_max, i(realu_neg, x)), i(realu_neg, y))) → i(i(realu_min, x), y)
i(intu_ofu_real, i(i(realu_max, i(realu_ofu_int, x)), i(realu_ofu_int, y))) → i(i(intu_max, x), y)
i(intu_gcd, i(i(c_, i(intu_ofu_num, a)), i(intu_ofu_num, b))) → i(intu_ofu_num, i(numu_gcd, i(i(c_, a), b)))
i(intu_ofu_real, i(i(realu_min, i(realu_ofu_int, x)), i(realu_ofu_int, y))) → i(i(intu_min, x), y)
i(intu_ofu_real, i(i(realu_mul, i(realu_ofu_int, x)), i(realu_ofu_int, y))) → i(i(intu_mul, x), y)
i(intu_neg, i(i(intu_min, i(intu_neg, x)), i(intu_neg, y))) → i(i(intu_max, x), y)
i(closedu_segment, i(i(CONS, i(i(c_, a), b)), NIL)) → i(pathu_image, i(linepath, i(i(c_, a), b)))
i(i(i(m_m_m_g_, f), i(f, x)), i(atreal, x)) → i(i(realu_continuous, f), i(atreal, x))
i(i(i(m_m_m_g_, f), i(f, x)), i(at, x)) → i(i(realu_continuous, f), i(at, x))
i(i(i(m_m_g_, f), i(f, x)), i(atreal, x)) → i(i(continuous, f), i(atreal, x))
i(i(i(m_m_g_, f), i(f, x)), i(at, x)) → i(i(continuous, f), i(at, x))
i(distance, i(i(c_, i(lift, x)), i(lift, y))) → i(realu_abs, i(i(realu_sub, x), y))
i(i(s_b_, i(i(convexu_on, f), s0)), i(convex, s0)) → i(convex, i(i(epigraph, s0), f))
i(i(shiftpath, t), i(linepath, i(i(c_, a), a))) → i(linepath, i(i(c_, a), a))
i(i(a_, i(openu_interval, i(i(c_, a), b))), EMPTY) → i(negligible, i(openu_interval, i(i(c_, a), b)))
i(i(a_, i(openu_realu_interval, i(i(c_, a), b))), EMPTY) → i(realu_negligible, i(openu_realu_interval, i(i(c_, a), b)))
i(i(a_, i(openu_interval, i(i(c_, a), b))), EMPTY) → i(COUNTABLE, i(openu_interval, i(i(c_, a), b)))
i(i(i(COND, i(i(realu_le, m), n)), n), m) → i(i(realu_max, m), n)
i(i(i(COND, i(i(realu_le, m), n)), m), n) → i(i(realu_min, m), n)
i(i(a_, i(i(m_, m), n)), i(NUMERAL, u_0)) → i(i(l_a_, m), n)
i(i(i(COND, i(i(intu_le, x), y)), y), x) → i(i(intu_max, x), y)
i(i(i(COND, i(i(intu_le, x), y)), x), y) → i(i(intu_min, x), y)
i(i(IN, m), i(i(o_o_, i(NUMERAL, u_0)), n)) → i(i(l_a_, m), n)
i(cexp, i(i(complexu_mul, i(Cx, i(realu_ofu_num, n))), x)) → i(i(complexu_pow, i(cexp, x)), n)
i(i(i(COND, i(i(l_a_, m), n)), n), m) → i(i(MAX, m), n)
i(i(i(COND, i(i(l_a_, m), n)), m), n) → i(i(MIN, m), n)
i(i(a_, i(openu_realu_interval, i(i(c_, a), b))), EMPTY) → i(i(realu_le, b), a)
i(cacs, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(clog, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(vectoru_neg, x)), i(vec, i(NUMERAL, u_0))) → i(i(a_, x), i(vec, i(NUMERAL, u_0)))
i(i(nsum, i(i(i(support, p_), f), s0)), f) → i(i(nsum, s0), f)
i(i(i(hasu_derivative, f), i(i(frechetu_derivative, f), net0)), net0) → i(i(differentiable, f), net0)
i(i(i(affsign, sgnu_ge), i(i(INSERT, v), EMPTY)), S) → i(i(cone, v), S)
i(i(i(hasu_integral, f), i(i(integral, s0), f)), s0) → i(i(integrableu_on, f), s0)
i(i(i(m_m_m_g_, f), i(f, i(netlimit, net0))), net0) → i(i(realu_continuous, f), net0)
i(i(i(hasu_vectoru_derivative, f), i(i(vectoru_derivative, f), net0)), net0) → i(i(differentiable, f), net0)
i(i(i(affsign, sgnu_gt), i(i(INSERT, v), EMPTY)), S) → i(i(cone0, v), S)
i(i(i(realu_sums, f), i(i(realu_infsum, s0), f)), s0) → i(i(realu_summable, s0), f)
i(i(a_, i(openu_segment, i(i(c_, a), b))), EMPTY) → i(i(a_, a), b)
i(i(i(sums, f), i(i(infsum, s0), f)), s0) → i(i(summable, s0), f)
i(i(i(hasu_realu_integral, f), i(i(realu_integral, s0), f)), s0) → i(i(realu_integrableu_on, f), s0)
i(i(i(higheru_complexu_derivative, i(NUMERAL, i(BIT1, u_0))), f), z) → i(i(complexu_derivative, f), z)
i(i(i(affsign, sgn), i(i(DIFF, s0), t)), t) → i(i(i(affsign, sgn), s0), t)
i(i(i(m_m_g_, f), i(f, i(netlimit, net0))), net0) → i(i(continuous, f), net0)
i(i(IN, i(lift, x)), i(i(IMAGE, lift), s0)) → i(i(IN, x), s0)
i(i(sum, i(i(i(support, realu_add), f), s0)), f) → i(i(sum, s0), f)
i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), i(affu_dim, s0)) → i(w_, i(i(a_, s0), EMPTY))
i(i(a_, i(det, A)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(l_, i(rank, A)), i(dimindex, UNIV))
i(i(b_s_, i(FINITE, s0)), i(i(a_u_c, s0), UNIV)) → i(COUNTABLE, s0)
i(binom, i(i(c_, i(NUMERAL, u_0)), i(SUC, k))) → i(NUMERAL, u_0)
i(i(APPEND, i(REVERSE, l)), i(i(CONS, x), NIL)) → i(REVERSE, i(i(CONS, x), l))
i(csqrt, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(complexu_inv, i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))) → i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))))
i(UNIONS, i(i(INSERT, s0), i(i(INSERT, t), EMPTY))) → i(i(UNION, s0), t)
i(INTERS, i(i(INSERT, s0), i(i(INSERT, t), EMPTY))) → i(i(INTER, s0), t)
i(i(i(i(RELPOW, i(NUMERAL, u_0)), R), x), y) → i(i(a_, x), y)
i(i(vectoru_add, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), x) → x
i(i(intu_mul, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), x) → x
i(i(intu_mul, x), i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → x
i(i(vectoru_add, x), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → x
i(complex, i(i(c_, i(Re, z)), i(Im, z))) → z
i(i(vectoru_sub, x), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → x
i(i(matrixu_vectoru_mul, i(mat, i(NUMERAL, i(BIT1, u_0)))), x) → x
i(i(matrixu_mul, i(mat, i(NUMERAL, i(BIT1, u_0)))), A) → A
i(i(matrixu_mul, A), i(mat, i(NUMERAL, i(BIT1, u_0)))) → A
i(i(r_r_, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), X) → X
i(i(r_, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), x) → x
i(dist, i(i(c_, m), i(i(p_, m), n))) → n
i(dist, i(i(c_, i(i(p_, m), n)), m)) → n
i(CARD, i(i(o_o_, i(NUMERAL, i(BIT1, u_0))), n)) → n
i(binom, i(i(c_, n), i(NUMERAL, i(BIT1, u_0)))) → n
i(i(m_, i(SUC, n)), i(NUMERAL, i(BIT1, u_0))) → n
i(closedu_interval, i(i(CONS, i(i(c_, a), a)), NIL)) → i(i(INSERT, a), EMPTY)
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(atn, x)) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(atn, x)) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(realu_inv, x)) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(realu_le, i(realu_neg, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(realu_lt, i(realu_neg, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(floor, x)) → i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(a_, i(frac, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(integer, x)
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(realu_inv, x)) → i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), x)
i(i(root, i(NUMERAL, i(BIT0, i(BIT1, u_0)))), x) → i(sqrt, x)
i(i(a_, i(det, A)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(w_, i(invertible, A))
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(Im, z)) → i(i(realu_le, i(Arg, z)), pi)
i(ball, i(i(c_, x), i(realu_ofu_num, i(NUMERAL, u_0)))) → EMPTY
i(i(a_, i(intu_sgn, x)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(intu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(Im, z)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(real0, z)
i(i(realu_le, i(realu_ofu_num, i(NUMERAL, u_0))), i(realu_neg, x)) → i(i(realu_le, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(complexu_mul, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), x) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_lt, i(realu_ofu_num, i(NUMERAL, u_0))), i(realu_neg, x)) → i(i(realu_lt, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(rpow, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), z) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(cpow, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))), z) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(drop, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(vec, i(NUMERAL, u_0)))
i(i(a_, i(infnorm, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(vec, i(NUMERAL, u_0)))
i(i(a_, i(intu_neg, x)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(intu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(vectoru_norm, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(vec, i(NUMERAL, u_0)))
i(i(a_, i(realu_neg, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(matrixu_neg, A)), i(mat, i(NUMERAL, u_0))) → i(i(a_, A), i(mat, i(NUMERAL, u_0)))
i(i(rotate2d, t), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(complexu_mul, x), i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_mul, i(exp, i(realu_neg, x))), i(exp, x)) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(intu_pow, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), n) → i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(vectoru_norm, i(cexp, i(i(complexu_mul, ii), i(Cx, t)))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(intu_le, i(intu_ofu_num, i(NUMERAL, u_0))), i(intu_neg, x)) → i(i(intu_le, x), i(intu_ofu_num, i(NUMERAL, u_0)))
i(i(intu_lt, i(intu_ofu_num, i(NUMERAL, u_0))), i(intu_neg, x)) → i(i(intu_lt, x), i(intu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_le, i(vectoru_norm, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(vec, i(NUMERAL, u_0)))
i(i(realu_mul, i(exp, x)), i(exp, i(realu_neg, x))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(c_, i(hrealu_ofu_num, n)), i(hrealu_ofu_num, i(NUMERAL, u_0))) → i(trealu_ofu_num, n)
i(i(a_, i(intu_abs, x)), i(intu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(intu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(realu_inv, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(realu_abs, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(a_, i(realu_sgn, x)), i(realu_ofu_num, i(NUMERAL, u_0))) → i(i(a_, x), i(realu_ofu_num, i(NUMERAL, u_0)))
i(i(realu_pow, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), n) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(i(m_m_g_, i(i(o, Cx), s0)), i(Cx, l)) → i(i(m_m_m_g_, s0), l)
i(i(m_m_g_, i(i(o, lift), s0)), i(lift, l)) → i(i(m_m_m_g_, s0), l)
i(i(sums, i(i(o, lift), f)), i(lift, l)) → i(i(realu_sums, f), l)
i(i(i(lifted, op), i(SOME, x)), i(SOME, y)) → i(SOME, i(i(op, x), y))
i(i(i(COND, b), i(f, x)), i(f, y)) → i(f, i(i(i(COND, b), x), y))
i(i(i(i(i(frustum, v0), v0), h1), h2), a) → EMPTY
i(i(i(COND, b), i(f, x)), i(g, x)) → i(i(i(i(COND, b), f), g), x)
i(i(s_b_, i(P, x)), i(i(MEM, x), l)) → i(i(MEM, x), i(i(FILTER, P), l))
i(UNIONS, i(i(IMAGE, i(i(slice, k), a)), s0)) → i(i(i(slice, k), a), i(UNIONS, s0))
i(i(CONS, i(f, h)), i(i(MAP, f), t)) → i(i(MAP, f), i(i(CONS, h), t))
i(i(realu_lt, i(i(realu_add, x), i(realu_neg, y))), z) → i(i(realu_lt, x), i(i(realu_add, z), y))
i(i(intu_lt, i(i(intu_add, x), i(intu_neg, y))), z) → i(i(intu_lt, x), i(i(intu_add, z), y))
i(angle, i(i(c_, v), i(i(c_, u), w))) → i(i(i(arcV, u), v), w)
i(i(d_, i(i(d_, i(transp, A)), i0)), j) → i(i(d_, i(i(d_, A), j)), i0)
i(i(intu_lt, y), i(i(intu_add, x), i(intu_neg, z))) → i(i(intu_lt, i(i(intu_add, y), z)), x)
i(i(realu_lt, y), i(i(realu_add, x), i(realu_neg, z))) → i(i(realu_lt, i(i(realu_add, y), z)), x)
i(i(i(homotopicu_paths, s0), i(reversepath, p)), i(reversepath, q)) → i(i(i(homotopicu_paths, s0), p), q)
i(i(realu_div, x), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → x
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))), x) → x
i(i(d_, i(lift, x)), i(NUMERAL, i(BIT1, u_0))) → x
i(i(realu_mul, x), i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → x
i(Re, i(complex, i(i(c_, x), y))) → x
i(i(nsum, i(i(INSERT, x), EMPTY)), f) → i(f, x)
i(i(vectoru_sub, i(i(vectoru_add, x), y)), x) → y
i(i(vectoru_add, y), i(i(vectoru_sub, x), y)) → x
i(i(vectoru_add, i(i(vectoru_sub, x), y)), y) → x
i(g, i(vec, i(NUMERAL, i(BIT1, u_0)))) → i(pathfinish, g)
i(i(i(i(ITLIST2, f), NIL), l2), b) → b
i(i(hull, convex), i(i(INSERT, a), EMPTY)) → i(i(INSERT, a), EMPTY)
i(i(a_, i(LENGTH, l)), i(NUMERAL, u_0)) → i(i(a_, l), NIL)
i(i(a_, i(i(hull, conic), s0)), EMPTY) → i(i(a_, s0), EMPTY)
i(i(a_, i(i(hull, convex), s0)), EMPTY) → i(i(a_, s0), EMPTY)
i(i(a_, i(inside, s0)), i(outside, s0)) → i(i(a_, s0), UNIV)
i(i(a_, i(i(hull, affine), s0)), EMPTY) → i(i(a_, s0), EMPTY)
i(i(a_, i(dim, s0)), i(dimindex, UNIV)) → i(i(a_, i(span, s0)), UNIV)
i(i(hull, affine), i(i(INSERT, a), EMPTY)) → i(i(INSERT, a), EMPTY)
i(i(vsum, i(i(INSERT, x), EMPTY)), f) → i(f, x)
i(i(i(reduced, lab), i(NUMERAL, u_0)), x) → i(NUMERAL, u_0)
i(i(m_, m), i(i(p_, m), n)) → i(NUMERAL, u_0)
i(i(m_, n), i(i(p_, m), n)) → i(NUMERAL, u_0)
i(i(i(i(ITLIST2, f), NIL), NIL), b) → b
i(i(pastecart, i(vec, n)), i(vec, n)) → i(vec, n)
i(binom, i(i(c_, i(SUC, n)), n)) → i(SUC, n)
i(i(i(FCONS, a), f), i(NUMERAL, u_0)) → a
i(i(a_, i(oneu_REP, i(oneu_ABS, r))), r) → r
i(pathfinish, i(linepath, i(i(c_, a), b))) → b
i(i(vectoru_sub, x), i(i(vectoru_sub, x), y)) → y
i(pathstart, i(linepath, i(i(c_, a), b))) → a
i(i(continuous, i(i(o, lift), f)), net0) → i(i(realu_continuous, f), net0)
i(i(a_, i(BIT1, m)), i(BIT0, n)) → F
i(i(a_, i(BIT0, m)), i(BIT1, n)) → F
i(i(pairwise, r), i(i(INSERT, x), EMPTY)) → T
i(i(realu_div, i(sin, x)), i(cos, x)) → i(tan, x)
i(i(i(ITER, i(NUMERAL, u_0)), f), x) → x
i(i(intu_sub, i(intu_ofu_num, i(NUMERAL, u_0))), x) → i(intu_neg, x)
i(i(summable, s0), i(i(o, Cx), f)) → i(i(realu_summable, s0), f)
i(i(summable, s0), i(i(o, lift), f)) → i(i(realu_summable, s0), f)
i(i(realu_mul, x), i(i(realu_pow, x), n)) → i(i(realu_pow, x), i(SUC, n))
i(i(p_, i(NUMERAL, n)), i(NUMERAL, n)) → i(NUMERAL, i(BIT0, n))
i(i(t_, i(SUC, n)), i(FACT, n)) → i(FACT, i(SUC, n))
i(i(intu_mul, x), i(i(intu_pow, x), n)) → i(i(intu_pow, x), i(SUC, n))
i(i(complexu_mul, x), i(i(complexu_pow, x), n)) → i(i(complexu_pow, x), i(SUC, n))
i(i(vectoru_sub, i(vec, i(NUMERAL, u_0))), x) → i(vectoru_neg, x)
i(i(a_, i(i(hull, affine), s0)), s0) → i(affine, s0)
i(i(hasu_measure, s0), i(realu_ofu_num, i(NUMERAL, u_0))) → i(negligible, s0)
i(i(a_, i(relativeu_interior, s0)), i(closure, s0)) → i(affine, s0)
i(i(a_, i(openu_in, i(topology0, r))), r) → i(istopology, r)
i(i(matrixu_sub, i(mat, i(NUMERAL, u_0))), A) → i(matrixu_neg, A)
i(i(a_, i(i(hull, conic), s0)), s0) → i(conic, s0)
i(i(a_, i(i(hull, convex), s0)), s0) → i(convex, s0)
i(i(UNION, i(inside, s0)), i(outside, s0)) → i(i(DIFF, UNIV), s0)
i(i(hasu_realu_measure, s0), i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_negligible, s0)
i(i(a_, i(destu_cart, i(mku_cart, r))), r) → T
i(i(hull, affine), i(i(hull, convex), s0)) → i(i(hull, affine), s0)
i(i(a_, i(Cx, i(Re, z))), z) → i(real0, z)
i(rank, i(i(matrixu_mul, i(transp, A)), A)) → i(rank, A)
i(i(hrealu_add, i(hrealu_ofu_num, i(NUMERAL, u_0))), x) → x
i(i(a_, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(i(a_, x), y)
i(i(complexu_mul, i(Cx, x)), i(Cx, y)) → i(Cx, i(i(realu_mul, x), y))
i(i(realu_ge, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(i(intu_ge, x), y)
i(i(realu_div, i(realu_abs, x)), i(realu_abs, y)) → i(realu_abs, i(i(realu_div, x), y))
i(i(realu_gt, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(i(intu_gt, x), y)
i(i(UNION, i(closure, s0)), i(closure, t)) → i(closure, i(i(UNION, s0), t))
i(i(realu_le, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(i(intu_le, x), y)
i(i(realu_lt, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(i(intu_lt, x), y)
i(i(complexu_mul, i(complexu_inv, w)), i(complexu_inv, z)) → i(complexu_inv, i(i(complexu_mul, w), z))
i(i(m_, i(BIT1, m)), i(BIT1, n)) → i(BIT0, i(i(m_, m), n))
i(i(m_, i(BIT0, m)), i(BIT0, n)) → i(BIT0, i(i(m_, m), n))
i(i(m_, i(NUMERAL, m)), i(NUMERAL, n)) → i(NUMERAL, i(i(m_, m), n))
i(i(EXP, i(NUMERAL, m)), i(NUMERAL, n)) → i(NUMERAL, i(i(EXP, m), n))
i(i(t_, i(NUMERAL, m)), i(NUMERAL, n)) → i(NUMERAL, i(i(t_, m), n))
i(i(p_, i(BIT1, m)), i(BIT0, n)) → i(BIT1, i(i(p_, m), n))
i(i(p_, i(BIT0, m)), i(BIT1, n)) → i(BIT1, i(i(p_, m), n))
i(i(p_, i(BIT0, m)), i(BIT0, n)) → i(BIT0, i(i(p_, m), n))
i(i(p_, i(NUMERAL, m)), i(NUMERAL, n)) → i(NUMERAL, i(i(p_, m), n))
i(i(realu_mul, i(vectoru_norm, w)), i(vectoru_norm, z)) → i(vectoru_norm, i(i(complexu_mul, w), z))
i(i(realu_add, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(realu_ofu_int, i(i(intu_add, x), y))
i(simpleu_path, i(linepath, i(i(c_, a), b))) → i(w_, i(i(a_, a), b))
i(i(matrixu_add, i(transp, A)), i(transp, B)) → i(transp, i(i(matrixu_add, A), B))
i(i(s_b_, i(ODD, m)), i(ODD, n)) → i(ODD, i(i(t_, m), n))
i(i(DIFF, i(interior, s0)), i(closure, t)) → i(interior, i(i(DIFF, s0), t))
i(i(realu_div, i(realu_ofu_num, x)), i(realu_ofu_num, y)) → i(i(DECIMAL, x), y)
i(i(realu_mul, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(realu_ofu_int, i(i(intu_mul, x), y))
i(i(realu_min, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(realu_ofu_int, i(i(intu_min, x), y))
i(i(vectoru_add, i(cnj, w)), i(cnj, z)) → i(cnj, i(i(vectoru_add, w), z))
i(i(s_b_, i(COUNTABLE, s0)), i(COUNTABLE, t)) → i(COUNTABLE, i(i(UNION, s0), t))
i(i(a_, i(i(connectedu_component, s0), x)), EMPTY) → i(w_, i(i(IN, x), s0))
i(i(realu_mul, i(exp, x)), i(exp, y)) → i(exp, i(i(realu_add, x), y))
i(i(hrealu_mul, i(hrealu_ofu_num, m)), i(hrealu_ofu_num, n)) → i(hrealu_ofu_num, i(i(t_, m), n))
i(relativeu_interior, i(openu_segment, i(i(c_, a), b))) → i(openu_segment, i(i(c_, a), b))
i(i(complexu_mul, i(cexp, w)), i(cexp, z)) → i(cexp, i(i(vectoru_add, w), z))
i(arc, i(linepath, i(i(c_, a), b))) → i(w_, i(i(a_, a), b))
i(i(complexu_div, i(cnj, w)), i(cnj, z)) → i(cnj, i(i(complexu_div, w), z))
i(i(p_, m), i(i(t_, m), n)) → i(i(t_, m), i(SUC, n))
i(i(IN, i(vectoru_neg, x)), i(span, s0)) → i(i(IN, x), i(span, s0))
i(i(vectoru_sub, i(Cx, x)), i(Cx, y)) → i(Cx, i(i(realu_sub, x), y))
i(i(realu_mul, i(realu_sgn, x)), i(realu_sgn, y)) → i(realu_sgn, i(i(realu_mul, x), y))
i(i(realu_add, i(drop, x)), i(drop, y)) → i(drop, i(i(vectoru_add, x), y))
i(interior, i(cball, i(i(c_, x), e))) → i(ball, i(i(c_, x), e))
i(i(vectoru_add, i(lift, x)), i(lift, y)) → i(lift, i(i(realu_add, x), y))
i(i(realu_ge, i(vectoru_norm, x)), i(vectoru_norm, y)) → i(i(i(netord, atu_infinity), x), y)
i(i(realu_mul, i(realu_abs, a)), i(infnorm, x)) → i(infnorm, i(i(r_, a), x))
i(i(s_b_, i(negligible, s0)), i(negligible, t)) → i(negligible, i(i(UNION, s0), t))
i(i(a_, i(cnj, z)), i(Cx, x)) → i(i(a_, z), i(Cx, x))
i(i(realu_add, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(realu_ofu_num, i(i(p_, m), n))
i(i(intu_add, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(intu_ofu_num, i(i(p_, m), n))
i(i(INTER, i(interior, s0)), i(interior, t)) → i(interior, i(i(INTER, s0), t))
i(i(realu_mul, i(realu_abs, x)), i(realu_abs, y)) → i(realu_abs, i(i(realu_mul, x), y))
i(i(UNION, i(UNIONS, s0)), i(UNIONS, t)) → i(UNIONS, i(i(UNION, s0), t))
i(i(realu_sub, pi), i(i(vectoru_angle, x), y)) → i(i(vectoru_angle, i(vectoru_neg, x)), y)
i(i(realu_sub, i(trace, A)), i(trace, B)) → i(trace, i(i(matrixu_sub, A), B))
i(i(realu_sub, i(Im, x)), i(Im, y)) → i(Im, i(i(vectoru_sub, x), y))
i(i(o, f), i(i(ITER, n), f)) → i(i(ITER, i(SUC, n)), f)
i(i(b_s_, i(EVEN, m)), i(EVEN, n)) → i(EVEN, i(i(t_, m), n))
i(i(realu_mul, i(realu_inv, x)), i(realu_inv, y)) → i(realu_inv, i(i(realu_mul, x), y))
i(i(realu_sub, i(Re, x)), i(Re, y)) → i(Re, i(i(vectoru_sub, x), y))
i(i(matrixu_add, i(matrixu_neg, A)), i(matrixu_neg, B)) → i(matrixu_neg, i(i(matrixu_add, A), B))
i(i(vectoru_add, i(vectoru_neg, x)), i(vectoru_neg, y)) → i(vectoru_neg, i(i(vectoru_add, x), y))
i(i(INTER, i(INTERS, s0)), i(INTERS, t)) → i(INTERS, i(i(UNION, s0), t))
i(i(intu_mul, i(intu_abs, x)), i(intu_abs, y)) → i(intu_abs, i(i(intu_mul, x), y))
i(i(intu_add, i(intu_neg, x)), i(intu_neg, y)) → i(intu_neg, i(i(intu_add, x), y))
i(i(realu_sub, pi), i(i(vectoru_angle, x), y)) → i(i(vectoru_angle, x), i(vectoru_neg, y))
i(i(a_, i(i(pathu_component, s0), x)), EMPTY) → i(w_, i(i(IN, x), s0))
i(i(openu_in, i(i(subtopology, top), u)), u) → i(i(SUBSET, u), i(topspace, top))
i(i(vectoru_sub, i(sndcart, x)), i(sndcart, y)) → i(sndcart, i(i(vectoru_sub, x), y))
i(i(vectoru_add, i(Cx, x)), i(Cx, y)) → i(Cx, i(i(realu_add, x), y))
i(i(complexu_mul, i(cnj, w)), i(cnj, z)) → i(cnj, i(i(complexu_mul, w), z))
i(reversepath, i(linepath, i(i(c_, a), b))) → i(linepath, i(i(c_, b), a))
i(i(APPEND, i(REVERSE, m)), i(REVERSE, l)) → i(REVERSE, i(i(APPEND, l), m))
i(UNIONS, i(i(IMAGE, i(IMAGE, f)), s0)) → i(i(IMAGE, f), i(UNIONS, s0))
i(i(a_, i(EVEN, m)), i(EVEN, n)) → i(EVEN, i(i(p_, m), n))
i(i(p_, i(LENGTH, l)), i(LENGTH, m)) → i(LENGTH, i(i(APPEND, l), m))
i(i(vectoru_sub, i(fstcart, x)), i(fstcart, y)) → i(fstcart, i(i(vectoru_sub, x), y))
i(i(t_, m), i(i(EXP, m), n)) → i(i(EXP, m), i(SUC, n))
i(i(complexu_div, i(Cx, x)), i(Cx, y)) → i(Cx, i(i(realu_div, x), y))
i(i(closedu_in, i(i(subtopology, top), u)), u) → i(i(SUBSET, u), i(topspace, top))
i(setdist, i(i(c_, s0), i(closure, t))) → i(setdist, i(i(c_, s0), t))
i(setdist, i(i(c_, i(closure, s0)), t)) → i(setdist, i(i(c_, s0), t))
i(i(s_b_, i(realu_bounded, s0)), i(realu_bounded, t)) → i(realu_bounded, i(i(UNION, s0), t))
i(i(realu_max, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(realu_ofu_int, i(i(intu_max, x), y))
i(i(realu_div, i(vectoru_norm, w)), i(vectoru_norm, z)) → i(vectoru_norm, i(i(complexu_div, w), z))
i(i(UNION, i(setu_ofu_list, l1)), i(setu_ofu_list, l2)) → i(setu_ofu_list, i(i(APPEND, l1), l2))
i(i(realu_add, i(trace, A)), i(trace, B)) → i(trace, i(i(matrixu_add, A), B))
i(i(realu_add, i(Im, x)), i(Im, y)) → i(Im, i(i(vectoru_add, x), y))
i(i(realu_mul, i(det, A)), i(det, B)) → i(det, i(i(matrixu_mul, A), B))
i(i(hrealu_add, i(hrealu_ofu_num, m)), i(hrealu_ofu_num, n)) → i(hrealu_ofu_num, i(i(p_, m), n))
i(i(s_b_, i(FINITE, s0)), i(FINITE, t)) → i(FINITE, i(i(UNION, s0), t))
i(i(realu_sub, i(realu_ofu_int, x)), i(realu_ofu_int, y)) → i(realu_ofu_int, i(i(intu_sub, x), y))
i(i(realu_add, i(Re, x)), i(Re, y)) → i(Re, i(i(vectoru_add, x), y))
i(i(matrixu_sub, i(transp, A)), i(transp, B)) → i(transp, i(i(matrixu_sub, A), B))
i(i(realu_max, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(realu_ofu_num, i(i(MAX, m), n))
i(i(realu_min, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(realu_ofu_num, i(i(MIN, m), n))
i(i(intu_max, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(intu_ofu_num, i(i(MAX, m), n))
i(i(vectoru_sub, i(cnj, w)), i(cnj, z)) → i(cnj, i(i(vectoru_sub, w), z))
i(i(realu_mul, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(realu_ofu_num, i(i(t_, m), n))
i(i(intu_min, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(intu_ofu_num, i(i(MIN, m), n))
i(i(realu_add, i(realu_neg, x)), i(realu_neg, y)) → i(realu_neg, i(i(realu_add, x), y))
i(i(intu_mul, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(intu_ofu_num, i(i(t_, m), n))
i(i(s_b_, i(bounded, s0)), i(bounded, t)) → i(bounded, i(i(UNION, s0), t))
i(i(intu_divides, i(intu_ofu_num, a)), i(intu_ofu_num, b)) → i(i(numu_divides, a), b)
i(i(realu_div, i(exp, x)), i(exp, y)) → i(exp, i(i(realu_sub, x), y))
i(i(realu_mul, i(realu_abs, a)), i(vectoru_norm, x)) → i(vectoru_norm, i(i(r_, a), x))
i(i(pastecart, i(vectoru_neg, x)), i(vectoru_neg, y)) → i(vectoru_neg, i(i(pastecart, x), y))
i(i(vectoru_add, i(sndcart, x)), i(sndcart, y)) → i(sndcart, i(i(vectoru_add, x), y))
i(i(s_b_, i(realu_negligible, s0)), i(realu_negligible, t)) → i(realu_negligible, i(i(UNION, s0), t))
i(i(complexu_div, i(cexp, w)), i(cexp, z)) → i(cexp, i(i(vectoru_sub, w), z))
i(i(realu_div, i(realu_sgn, x)), i(realu_sgn, y)) → i(realu_sgn, i(i(realu_div, x), y))
i(i(s_b_, i(FINITE, s0)), i(FINITE, t)) → i(FINITE, i(i(p_u_c, s0), t))
i(i(intu_mul, i(intu_sgn, x)), i(intu_sgn, y)) → i(intu_sgn, i(i(intu_mul, x), y))
i(intu_ofu_real, i(i(realu_pow, i(realu_ofu_int, x)), n)) → i(i(intu_pow, x), n)
i(i(vectoru_add, i(fstcart, x)), i(fstcart, y)) → i(fstcart, i(i(vectoru_add, x), y))
i(i(realu_sub, i(drop, x)), i(drop, y)) → i(drop, i(i(vectoru_sub, x), y))
i(i(vectoru_sub, i(lift, x)), i(lift, y)) → i(lift, i(i(realu_sub, x), y))
i(i(matrixu_mul, i(transp, B)), i(transp, A)) → i(transp, i(i(matrixu_mul, A), B))
i(inverse, i(swap, i(i(c_, a), b))) → i(swap, i(i(c_, a), b))
i(i(hrealu_add, n), i(hrealu_ofu_num, i(NUMERAL, u_0))) → n
i(i(a_, i(i(connectedu_component, s0), x)), UNIV) → i(i(a_, s0), UNIV)
i(i(permutes, p), i(i(INSERT, a), EMPTY)) → i(i(a_, p), I)
i(i(a_, i(i(IMAGE, f), s0)), EMPTY) → i(i(a_, s0), EMPTY)
i(i(a_, i(i(INTER, s0), t)), EMPTY) → i(i(DISJOINT, s0), t)
i(i(a_, i(i(MAP, f), l)), NIL) → i(i(a_, l), NIL)
i(i(a_, i(realu_neg, x)), i(realu_neg, y)) → i(i(a_, x), y)
i(i(realu_mul, i(realu_neg, x)), i(realu_neg, y)) → i(i(realu_mul, x), y)
i(i(intu_sub, x), i(i(intu_add, x), y)) → i(intu_neg, y)
i(i(realu_sub, i(realu_neg, x)), i(realu_neg, y)) → i(i(realu_sub, y), x)
i(i(p_, i(i(t_, m), n)), n) → i(i(t_, i(SUC, m)), n)
i(i(g_, i(BIT1, n)), i(BIT1, m)) → i(i(g_, n), m)
i(i(g_, i(BIT0, n)), i(BIT1, m)) → i(i(g_, n), m)
i(i(g_, i(BIT1, n)), i(BIT0, m)) → i(i(g_a_, n), m)
i(i(g_, i(BIT0, n)), i(BIT0, m)) → i(i(g_, n), m)
i(i(g_, i(NUMERAL, n)), i(NUMERAL, m)) → i(i(g_, n), m)
i(i(g_a_, i(BIT1, n)), i(BIT1, m)) → i(i(g_a_, n), m)
i(i(g_a_, i(BIT0, n)), i(BIT1, m)) → i(i(g_, n), m)
i(i(g_a_, i(BIT1, n)), i(BIT0, m)) → i(i(g_a_, n), m)
i(i(g_a_, i(BIT0, n)), i(BIT0, m)) → i(i(g_a_, n), m)
i(i(g_a_, i(NUMERAL, n)), i(NUMERAL, m)) → i(i(g_a_, n), m)
i(i(l_, i(BIT1, m)), i(BIT1, n)) → i(i(l_, m), n)
i(i(l_, i(BIT1, m)), i(BIT0, n)) → i(i(l_, m), n)
i(i(l_, i(BIT0, m)), i(BIT1, n)) → i(i(l_a_, m), n)
i(i(l_, i(BIT0, m)), i(BIT0, n)) → i(i(l_, m), n)
i(i(l_, i(NUMERAL, m)), i(NUMERAL, n)) → i(i(l_, m), n)
i(i(l_a_, i(BIT1, m)), i(BIT1, n)) → i(i(l_a_, m), n)
i(i(l_a_, i(BIT1, m)), i(BIT0, n)) → i(i(l_, m), n)
i(i(l_a_, i(BIT0, m)), i(BIT1, n)) → i(i(l_a_, m), n)
i(i(l_a_, i(BIT0, m)), i(BIT0, n)) → i(i(l_a_, m), n)
i(i(l_a_, i(NUMERAL, m)), i(NUMERAL, n)) → i(i(l_a_, m), n)
i(i(a_, i(BIT1, m)), i(BIT1, n)) → i(i(a_, m), n)
i(i(a_, i(BIT0, m)), i(BIT0, n)) → i(i(a_, m), n)
i(i(a_, i(NUMERAL, m)), i(NUMERAL, n)) → i(i(a_, m), n)
i(i(product, i(i(o_o_, n), n)), f) → i(f, n)
i(i(realu_sub, x), i(i(realu_add, x), y)) → i(realu_neg, y)
i(Re, i(i(complexu_div, z), i(Cx, x))) → i(i(realu_div, i(Re, z)), x)
i(i(a_, i(SUC, m)), i(SUC, n)) → i(i(a_, m), n)
i(PRE, i(i(m_, i(SUC, m)), n)) → i(i(m_, m), n)
i(i(hasu_measure, i(i(IMAGE, lift), s0)), m) → i(i(hasu_realu_measure, s0), m)
i(i(intu_lt, i(intu_neg, x)), i(intu_neg, y)) → i(i(intu_lt, y), x)
i(i(realu_lt, i(realu_neg, x)), i(realu_neg, y)) → i(i(realu_lt, y), x)
i(i(a_, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(i(a_, m), n)
i(i(realu_ge, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(i(g_a_, m), n)
i(i(realu_gt, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(i(g_, m), n)
i(i(realu_le, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(i(l_a_, m), n)
i(i(realu_lt, i(realu_ofu_num, m)), i(realu_ofu_num, n)) → i(i(l_, m), n)
i(i(realu_sub, i(i(realu_sub, x), y)), x) → i(realu_neg, y)
i(i(a_a_g_, i(w_, t1)), i(w_, t2)) → i(i(a_a_g_, t2), t1)
i(i(realu_le, i(exp, x)), i(exp, y)) → i(i(realu_le, x), y)
i(i(l_, i(SUC, m)), i(SUC, n)) → i(i(l_, m), n)
i(i(realu_lt, i(exp, x)), i(exp, y)) → i(i(realu_lt, x), y)
i(i(a_, i(INDu_SUC, x1)), i(INDu_SUC, x2)) → i(i(a_, x1), x2)
i(i(a_, i(exp, x)), i(exp, y)) → i(i(a_, x), y)
i(i(intu_le, i(intu_neg, x)), i(intu_neg, y)) → i(i(intu_le, y), x)
i(i(trealu_eq, i(trealu_ofu_num, m)), i(trealu_ofu_num, n)) → i(i(a_, m), n)
i(i(realu_le, i(atn, x)), i(atn, y)) → i(i(realu_le, x), y)
i(i(trealu_le, i(trealu_ofu_num, m)), i(trealu_ofu_num, n)) → i(i(l_a_, m), n)
i(i(a_, i(INJN, n10)), i(INJN, n20)) → i(i(a_, n10), n20)
i(i(m_, i(SUC, m)), i(SUC, n)) → i(i(m_, m), n)
i(i(naddu_eq, i(naddu_ofu_num, m)), i(naddu_ofu_num, n)) → i(i(a_, m), n)
i(i(naddu_le, i(naddu_ofu_num, m)), i(naddu_ofu_num, n)) → i(i(l_a_, m), n)
i(exp, i(i(realu_mul, i(realu_ofu_num, n)), x)) → i(i(realu_pow, i(exp, x)), n)
i(i(a_, i(hrealu_ofu_num, m)), i(hrealu_ofu_num, n)) → i(i(a_, m), n)
i(i(a_, i(lift, x)), i(lift, y)) → i(i(a_, x), y)
i(i(hrealu_le, i(hrealu_ofu_num, m)), i(hrealu_ofu_num, n)) → i(i(l_a_, m), n)
i(i(a_, i(intu_neg, x)), i(intu_neg, y)) → i(i(a_, x), y)
i(i(a_, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(i(a_, m), n)
i(i(intu_ge, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(i(g_a_, m), n)
i(i(intu_gt, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(i(g_, m), n)
i(i(intu_le, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(i(l_a_, m), n)
i(i(intu_lt, i(intu_ofu_num, m)), i(intu_ofu_num, n)) → i(i(l_, m), n)
i(i(realu_lt, i(atn, x)), i(atn, y)) → i(i(realu_lt, x), y)
i(i(realu_le, i(realu_neg, x)), i(realu_neg, y)) → i(i(realu_le, y), x)
i(i(nsum, i(i(o_o_, n), n)), f) → i(f, n)
i(i(a_, i(atn, x)), i(atn, y)) → i(i(a_, x), y)
i(i(a_, i(i(o_o_, m), n)), EMPTY) → i(i(l_, n), m)
i(Im, i(i(complexu_div, z), i(Cx, x))) → i(i(realu_div, i(Im, z)), x)
i(i(a_, i(Cx, x)), i(Cx, y)) → i(i(a_, x), y)
i(i(l_a_, i(SUC, m)), i(SUC, n)) → i(i(l_a_, m), n)
i(i(a_, i(realu_inv, x)), i(realu_inv, y)) → i(i(a_, x), y)
i(i(intu_mul, i(intu_neg, x)), i(intu_neg, y)) → i(i(intu_mul, x), y)
i(i(intu_sub, i(intu_neg, x)), i(intu_neg, y)) → i(i(intu_sub, y), x)
i(i(sum, i(i(o_o_, n), n)), f) → i(f, n)
i(i(intu_sub, i(i(intu_sub, x), y)), x) → i(intu_neg, y)
i(i(a_, i(vec, m)), i(vec, n)) → i(i(a_, m), n)
i(csqrt, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(realu_inv, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(casn, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(intu_abs, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(complexu_inv, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(ctan, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(realu_abs, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(sqrt, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(det, i(mat, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(vectoru_neg, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(vectoru_norm, i(basis, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))
i(csin, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))
i(REPu_prod, i(ABSu_prod, i(i(mku_pair, x), y))) → i(i(mku_pair, x), y)
i(i(a_, i(INR, a)), i(INR, ai_)) → i(i(a_, a), ai_)
i(i(a_, i(INJA, a1)), i(INJA, a2)) → i(i(a_, a1), a2)
i(i(a_, i(INL, a)), i(INL, ai_)) → i(i(a_, a), ai_)
i(i(IN, x), i(i(INSERT, y), EMPTY)) → i(i(a_, x), y)
i(evenperm, i(swap, i(i(c_, a), b))) → i(i(a_, a), b)
i(i(DELETE, i(i(DELETE, s0), x)), x) → i(i(DELETE, s0), x)
i(basis, i(NUMERAL, i(BIT0, i(BIT1, u_0)))) → ii
i(i(vectoru_sub, x), i(i(vectoru_add, x), y)) → i(vectoru_neg, y)
i(i(SUBSET, i(i(INSERT, x), EMPTY)), s0) → i(i(IN, x), s0)
i(i(INSERT, x), i(i(INSERT, x), s0)) → i(i(INSERT, x), s0)
i(i(between, x), i(i(c_, a), a)) → i(i(a_, x), a)
i(i(a_, i(INJF, f1)), i(INJF, f2)) → i(i(a_, f1), f2)
i(i(a_, i(i(INSERT, x), s0)), s0) → i(i(IN, x), s0)
i(i(a_, i(i(UNION, s0), t)), t) → i(i(SUBSET, s0), t)
i(i(complexu_mul, i(vectoru_neg, x)), i(vectoru_neg, y)) → i(i(complexu_mul, x), y)
i(i(vectoru_sub, i(vectoru_neg, x)), i(vectoru_neg, y)) → i(i(vectoru_sub, y), x)
i(i(IN, x), i(i(IMAGE, drop), s0)) → i(i(IN, i(lift, x)), s0)
i(i(IN, x), i(i(IMAGE, lift), s0)) → i(i(IN, i(drop, x)), s0)
i(i(a_, i(transp, A)), i(transp, B)) → i(i(a_, A), B)
i(i(a_, i(cnj, w)), i(cnj, z)) → i(i(a_, w), z)
i(i(vectoru_angle, i(vectoru_neg, x)), i(vectoru_neg, y)) → i(i(vectoru_angle, x), y)
i(i(vectoru_sub, i(i(vectoru_sub, x), y)), x) → i(vectoru_neg, y)
i(FINITE, i(openu_segment, i(i(c_, a), b))) → i(i(a_, a), b)
i(i(a_, i(drop, x)), i(drop, y)) → i(i(a_, x), y)
i(i(connectedu_component, i(i(connectedu_component, s0), x)), x) → i(i(connectedu_component, s0), x)
i(i(a_, i(vectoru_neg, x)), i(vectoru_neg, y)) → i(i(a_, x), y)
i(i(affu_ge, i(i(DIFF, s0), t)), t) → i(i(affu_ge, s0), t)
i(i(pathu_component, i(i(pathu_component, s0), x)), x) → i(i(pathu_component, s0), x)
i(i(DIFF, i(i(DIFF, s0), t)), t) → i(i(DIFF, s0), t)
i(i(a_, i(u_destu_rec, x)), i(u_destu_rec, y)) → i(i(a_, x), y)
i(i(extremeu_pointu_of, x), i(i(INSERT, a), EMPTY)) → i(i(a_, x), a)
i(i(faceu_of, i(i(INSERT, x), EMPTY)), s0) → i(i(extremeu_pointu_of, x), s0)
i(i(a_, i(i(INTER, s0), t)), s0) → i(i(SUBSET, s0), t)
i(i(hull, P), i(i(hull, P), s0)) → i(i(hull, P), s0)
i(i(a_, i(i(DELETE, s0), x)), s0) → i(w_, i(i(IN, x), s0))
i(i(o, i(i(ITER, n), f)), f) → i(i(ITER, i(SUC, n)), f)
i(i(MOD, n), i(NUMERAL, i(BIT1, u_0))) → i(NUMERAL, u_0)
i(trace, i(mat, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(dimindex, UNIV))
i(i(a_, i(dimindex, UNIV)), i(dimindex, UNIV)) → i(i(homeomorphic, UNIV), UNIV)
i(i(p_, i(dimindex, UNIV)), i(dimindex, UNIV)) → i(dimindex, UNIV)
i(i(cross, x), i(vec, i(NUMERAL, u_0))) → i(vec, i(NUMERAL, u_0))
i(i(cross, i(vec, i(NUMERAL, u_0))), x) → i(vec, i(NUMERAL, u_0))
i(tan, i(i(realu_mul, i(realu_ofu_num, n)), pi)) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(dot, i(vec, i(NUMERAL, u_0))), x) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(r_r_, c), i(mat, i(NUMERAL, u_0))) → i(mat, i(NUMERAL, u_0))
i(i(realu_mul, i(realu_ofu_num, i(NUMERAL, u_0))), x) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(matrixu_mul, i(mat, i(NUMERAL, u_0))), A) → i(mat, i(NUMERAL, u_0))
i(binom, i(i(c_, n), i(NUMERAL, u_0))) → i(NUMERAL, i(BIT1, u_0))
i(i(r_, i(realu_ofu_num, i(NUMERAL, u_0))), x) → i(vec, i(NUMERAL, u_0))
i(i(dot, x), i(vec, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(realu_mul, x), i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(matrixu_mul, A), i(mat, i(NUMERAL, u_0))) → i(mat, i(NUMERAL, u_0))
i(i(hrealu_mul, i(hrealu_ofu_num, i(NUMERAL, u_0))), m) → i(hrealu_ofu_num, i(NUMERAL, u_0))
i(sin, i(i(realu_mul, i(realu_ofu_num, n)), pi)) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(intu_mul, i(intu_ofu_num, i(NUMERAL, u_0))), x) → i(intu_ofu_num, i(NUMERAL, u_0))
i(i(hrealu_mul, m), i(hrealu_ofu_num, i(NUMERAL, u_0))) → i(hrealu_ofu_num, i(NUMERAL, u_0))
i(i(matrixu_vectoru_mul, i(mat, i(NUMERAL, u_0))), x) → i(vec, i(NUMERAL, u_0))
i(i(intu_mul, x), i(intu_ofu_num, i(NUMERAL, u_0))) → i(intu_ofu_num, i(NUMERAL, u_0))
i(i(EXP, i(NUMERAL, i(BIT1, u_0))), n) → i(NUMERAL, i(BIT1, u_0))
i(i(r_r_, i(realu_ofu_num, i(NUMERAL, u_0))), A) → i(mat, i(NUMERAL, u_0))
i(i(matrixu_vectoru_mul, A), i(vec, i(NUMERAL, u_0))) → i(vec, i(NUMERAL, u_0))
i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(basis, i(NUMERAL, i(BIT1, u_0)))
i(realu_neg, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(cos, pi)
i(Cx, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(neutral, complexu_mul)
i(intu_neg, i(intu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(affu_dim, EMPTY)
i(i(a_, i(destu_nadd, i(mku_nadd, r))), r) → i(isu_nadd, r)
i(i(UNION, p), i(i(UNION, p), q)) → i(i(UNION, p), q)
i(i(INTER, p), i(i(INTER, p), q)) → i(i(INTER, p), q)
i(i(s_b_, p), i(i(s_b_, p), q)) → i(i(s_b_, p), q)
i(i(b_s_, p), i(i(b_s_, p), q)) → i(i(b_s_, p), q)
i(i(realu_sub, x), i(i(realu_sub, x), y)) → y
i(i(realu_add, y), i(i(realu_sub, x), y)) → x
i(i(realu_sub, i(i(realu_add, x), y)), x) → y
i(i(realu_add, i(i(realu_sub, x), y)), y) → x
i(Im, i(complex, i(i(c_, x), y))) → y
i(i(CONS, x), i(i(REPLICATE, n), x)) → i(i(REPLICATE, i(SUC, n)), x)
i(i(sum, i(i(INSERT, x), EMPTY)), f) → i(f, x)
i(i(rotate2d, i(realu_ofu_num, i(NUMERAL, u_0))), z) → z
i(i(intu_add, i(intu_ofu_num, i(NUMERAL, u_0))), x) → x
i(i(intu_sub, x), i(intu_ofu_num, i(NUMERAL, u_0))) → x
i(i(complexu_pow, x), i(NUMERAL, i(BIT1, u_0))) → x
i(i(intu_add, x), i(intu_ofu_num, i(NUMERAL, u_0))) → x
i(i(intu_mul, i(intu_sgn, x)), i(intu_abs, x)) → x
i(i(pastecart, i(fstcart, z)), i(sndcart, z)) → z
i(i(IMAGE, i(i(o, drop), lift)), s0) → s0
i(i(IMAGE, i(i(o, lift), drop)), s0) → s0
i(i(intu_pow, x), i(NUMERAL, i(BIT1, u_0))) → x
i(i(matrixu_add, i(mat, i(NUMERAL, u_0))), A) → A
i(i(matrixu_add, A), i(mat, i(NUMERAL, u_0))) → A
i(i(c_, i(FST, x)), i(SND, x)) → x
i(i(matrixu_sub, A), i(mat, i(NUMERAL, u_0))) → A
i(i(vectoru_add, i(vec, i(NUMERAL, u_0))), x) → x
i(i(vectoru_add, x), i(vec, i(NUMERAL, u_0))) → x
i(i(m_, i(i(p_, m), n)), n) → m
i(i(m_, i(i(p_, m), n)), m) → n
i(i(t_, i(NUMERAL, i(BIT1, u_0))), n) → n
i(i(DIV, n), i(NUMERAL, i(BIT1, u_0))) → n
i(dist, i(i(c_, i(NUMERAL, u_0)), n)) → n
i(i(EXP, n), i(NUMERAL, i(BIT1, u_0))) → n
i(dist, i(i(c_, n), i(NUMERAL, u_0))) → n
i(i(t_, m), i(NUMERAL, i(BIT1, u_0))) → m
i(i(intu_max, x), i(i(intu_max, x), y)) → i(i(intu_max, x), y)
i(i(intu_min, x), i(i(intu_min, x), y)) → i(i(intu_min, x), y)
i(acs, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(log, i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0)))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(r_, c), i(vec, i(NUMERAL, u_0))) → i(vec, i(NUMERAL, u_0))
i(i(dropout, k), i(vec, i(NUMERAL, u_0))) → i(vec, i(NUMERAL, u_0))
i(vectoru_norm, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(Arg, i(Cx, i(realu_ofu_num, i(NUMERAL, u_0)))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(vectoru_sub, x), i(vec, i(NUMERAL, u_0))) → x
i(i(realu_min, x), i(i(realu_min, x), y)) → i(i(realu_min, x), y)
i(i(realu_max, x), i(i(realu_max, x), y)) → i(i(realu_max, x), y)
i(i(intu_add, y), i(i(intu_sub, x), y)) → x
i(i(intu_add, i(i(intu_sub, x), y)), y) → x
i(i(intu_sub, i(i(intu_add, x), y)), x) → y
i(i(intu_sub, x), i(i(intu_sub, x), y)) → y
i(i(INSERT, i(vec, i(NUMERAL, u_0))), EMPTY) → i(span, EMPTY)
i(i(INSERT, i(vec, i(NUMERAL, u_0))), EMPTY) → i(i(hull, convexu_cone), EMPTY)
i(i(vsum, i(i(o_o_, n), n)), f) → i(f, n)
i(i(realu_sub, i(realu_ofu_num, i(NUMERAL, u_0))), x) → i(realu_neg, x)
i(i(a_, i(realu_ofu_int, i(intu_ofu_real, r))), r) → i(integer, r)
i(i(s_b_, i(realu_bounded, s0)), i(realu_closed, s0)) → i(realu_compact, s0)
i(i(DIFF, i(closure, s0)), i(interior, s0)) → i(frontier, s0)
i(i(complexu_div, i(csin, z)), i(ccos, z)) → i(ctan, z)
i(i(s_b_, i(bounded, s0)), i(closed, s0)) → i(compact, s0)
i(i(b_s_, i(rotationu_matrix, Q)), i(rotoinversionu_matrix, Q)) → i(orthogonalu_matrix, Q)
i(i(s_b_, i(polyhedron, s0)), i(bounded, s0)) → i(polytope, s0)
i(trivialu_limit, i(i(within, i(at, a)), s0)) → i(w_, i(i(limitu_pointu_of, a), s0))
i(i(INTER, i(inside, s0)), i(outside, s0)) → EMPTY
i(i(p_, m), i(NUMERAL, i(BIT1, u_0))) → i(SUC, m)
i(w_, i(i(a_, n), i(NUMERAL, u_0))) → i(i(l_, i(NUMERAL, u_0)), n)
i(i(d_, z), i(NUMERAL, i(BIT1, u_0))) → i(Re, z)
i(i(d_, x), i(NUMERAL, i(BIT1, u_0))) → i(drop, x)
i(i(continuous, i(i(o, Cx), f)), net0) → i(i(realu_continuous, f), net0)
i(i(product, i(i(INSERT, x), EMPTY)), f) → i(f, x)
i(i(s_b_, P), i(i(a_, v), t)) → i(i(i(SETSPEC, v), P), t)
i(i(intu_divides, n), i(i(intu_sub, x), y)) → i(i(i(intu_mod, n), x), y)
i(pathstart, i(i(i(subpath, u), v), g)) → i(g, u)
i(i(i(FCONS, a), f), i(SUC, n)) → i(f, n)
i(reversepath, i(i(i(subpath, u), v), g)) → i(i(i(subpath, v), u), g)
i(i(UNCURRY, f), i(i(c_, x), y)) → i(i(f, x), y)
i(pathfinish, i(i(i(subpath, u), v), g)) → i(g, v)
i(i(i(i(conicu_cap, v0), v0), r), a) → EMPTY
i(i(realu_add, i(realu_ofu_num, i(NUMERAL, u_0))), x) → x
i(i(realu_pow, x), i(NUMERAL, i(BIT1, u_0))) → x
i(i(realu_add, x), i(realu_ofu_num, i(NUMERAL, u_0))) → x
i(i(realu_sub, x), i(realu_ofu_num, i(NUMERAL, u_0))) → x
i(i(realu_mul, i(realu_sgn, x)), i(realu_abs, x)) → x
i(i(i(ITLIST, f), NIL), b) → b
i(LAST, i(i(CONS, h), NIL)) → h
i(HD, i(i(CONS, h), t)) → h
i(relativeu_interior, i(i(INSERT, a), EMPTY)) → i(i(INSERT, a), EMPTY)
i(i(measurableu_on, i(indicator, s0)), UNIV) → i(lebesgueu_measurable, s0)
i(i(a_, i(setu_ofu_list, l)), EMPTY) → i(i(a_, l), NIL)
i(i(a_, i(closure, s0)), EMPTY) → i(i(a_, s0), EMPTY)
i(i(HASu_SIZE, s0), i(NUMERAL, u_0)) → i(i(a_, s0), EMPTY)
i(RC, i(TC, i(SC, R))) → i(RSTC, R)
i(UNIONS, i(i(INSERT, s0), EMPTY)) → s0
i(INTERS, i(i(INSERT, s0), EMPTY)) → s0
i(i(EL, i(NUMERAL, u_0)), l) → i(HD, l)
i(i(higheru_complexu_derivative, i(NUMERAL, u_0)), f) → f
i(i(subtopology, top), i(topspace, top)) → top
i(i(m_, i(BIT1, n)), u_0) → i(BIT1, n)
i(i(m_, i(BIT0, n)), u_0) → i(BIT0, n)
i(i(g_a_, u_0), i(BIT0, n)) → i(i(g_a_, u_0), n)
i(i(l_, u_0), i(BIT0, n)) → i(i(l_, u_0), n)
i(i(a_, u_0), i(BIT0, n)) → i(i(a_, u_0), n)
i(i(p_, i(BIT1, n)), u_0) → i(BIT1, n)
i(i(p_, i(BIT0, n)), u_0) → i(BIT0, n)
i(i(p_, u_0), i(BIT1, n)) → i(BIT1, n)
i(i(p_, u_0), i(BIT0, n)) → i(BIT0, n)
i(vectoru_norm, i(Cx, i(realu_ofu_num, n))) → i(realu_ofu_num, n)
i(SND, i(i(c_, x), y)) → y
i(FST, i(i(c_, x), y)) → x
i(i(i(COND, b), t), t) → t
i(NULL, i(i(CONS, h), t)) → F
i(fstcart, i(i(pastecart, x), y)) → x
i(sndcart, i(i(pastecart, x), y)) → y
i(intu_ofu_real, i(realu_sgn, i(realu_ofu_int, x))) → i(intu_sgn, x)
i(Re, i(csin, i(Cx, x))) → i(sin, x)
i(intu_ofu_real, i(realu_abs, i(realu_ofu_int, x))) → i(intu_abs, x)
i(Re, i(ctan, i(Cx, x))) → i(tan, x)
i(Cx, i(vectoru_norm, i(Cx, x))) → i(Cx, i(realu_abs, x))
i(SUC, i(SUC, i(BIT0, n))) → i(BIT0, i(SUC, n))
i(Re, i(cacs, i(Cx, x))) → i(acs, x)
i(Re, i(casn, i(Cx, x))) → i(asn, x)
i(Re, i(catn, i(Cx, x))) → i(atn, x)
i(Re, i(ccos, i(Cx, x))) → i(cos, x)
i(intu_ofu_real, i(realu_neg, i(realu_ofu_int, i0))) → i(intu_neg, i0)
i(Re, i(cexp, i(Cx, x))) → i(exp, x)
i(mku_num, i(INDu_SUC, i(destu_num, n))) → i(SUC, n)
i(i(i(MAP2, f), NIL), NIL) → NIL
i(sin, i(i(realu_add, x), pi)) → i(realu_neg, i(sin, x))
i(i(realu_div, x), i(realu_abs, x)) → i(realu_sgn, x)
i(i(realu_lt, i(floor, x)), x) → i(w_, i(integer, x))
i(cos, i(i(realu_add, x), pi)) → i(realu_neg, i(cos, x))
i(i(realu_sub, x), i(floor, x)) → i(frac, x)
i(bounded, i(i(IMAGE, lift), s0)) → i(realu_bounded, s0)
i(i(vectoru_add, w), i(vectoru_neg, z)) → i(i(vectoru_sub, w), z)
i(SUC, i(i(p_, n), n)) → i(BIT1, n)
i(affu_dim, i(i(hull, affine), s0)) → i(affu_dim, s0)
i(frontier, i(i(DIFF, UNIV), s0)) → i(frontier, s0)
i(i(SUBSET, i(closure, s0)), s0) → i(closed, s0)
i(lebesgueu_measurable, i(i(DIFF, UNIV), s0)) → i(lebesgueu_measurable, s0)
i(i(a_, i(closure, s0)), s0) → i(closed, s0)
i(collinear, i(i(hull, convex), s0)) → i(collinear, s0)
i(diameter, i(i(hull, convex), s0)) → i(diameter, s0)
i(affu_dim, i(i(hull, convex), s0)) → i(affu_dim, s0)
i(i(i(affsign, sgnu_gt), EMPTY), S) → i(conv0, S)
i(i(a_, i(interior, s0)), s0) → i(open, s0)
i(bounded, i(i(hull, convex), s0)) → i(bounded, s0)
i(coplanar, i(i(hull, affine), s0)) → i(coplanar, s0)
i(i(SUBSET, i(frontier, s0)), s0) → i(closed, s0)
i(collinear, i(i(hull, affine), s0)) → i(collinear, s0)
i(relativeu_interior, i(i(hull, affine), s0)) → i(i(hull, affine), s0)
i(realu_lebesgueu_measurable, i(i(DIFF, UNIV), s0)) → i(realu_lebesgueu_measurable, s0)
i(i(within, i(at, x)), UNIV) → i(at, x)
i(i(a_, i(span, s0)), s0) → i(subspace, s0)
i(i(hull, affine), i(closure, s0)) → i(i(hull, affine), s0)
i(i(a_, i(cnj, z)), z) → i(real0, z)
i(i(vectoru_matrixu_mul, x), i(transp, A)) → i(i(matrixu_vectoru_mul, A), x)
i(i(realu_add, x), i(realu_neg, y)) → i(i(realu_sub, x), y)
i(i(destu_cart, x), i(finiteu_index, i0)) → i(i(d_, x), i0)
i(w_, i(i(intu_le, y), x)) → i(i(intu_lt, x), y)
i(i(complexu_mul, w), i(complexu_inv, z)) → i(i(complexu_div, w), z)
i(openu_interval, i(i(c_, a), b)) → i(i(rect, a), b)
i(i(realu_mul, x), i(realu_inv, y)) → i(i(realu_div, x), y)
i(i(matrixu_add, A), i(matrixu_neg, B)) → i(i(matrixu_sub, A), B)
i(pathfinish, i(i(o, f), p)) → i(f, i(pathfinish, p))
i(i(intu_add, x), i(intu_neg, y)) → i(i(intu_sub, x), y)
i(LENGTH, i(i(CONS, h), t)) → i(SUC, i(LENGTH, t))
i(vectoru_neg, i(i(cross, y), x)) → i(i(cross, x), y)
i(ball, i(i(c_, z), r)) → i(i(normball, z), r)
i(matrix, i(i(frechetu_derivative, f), net0)) → i(i(jacobian, f), net0)
i(pathstart, i(i(o, f), p)) → i(f, i(pathstart, p))
i(w_, i(i(realu_le, y), x)) → i(i(realu_lt, x), y)
i(ABSu_prod, i(i(mku_pair, x), y)) → i(i(c_, x), y)
i(i(intu_sub, x), i(intu_neg, y)) → i(i(intu_add, x), y)
i(realu_inv, i(i(realu_div, x), y)) → i(i(realu_div, y), x)
i(i(realu_sub, x), i(realu_neg, y)) → i(i(realu_add, x), y)
i(i(i(netord, atu_neginfinity), x), y) → i(i(realu_le, x), y)
i(intu_neg, i(i(intu_sub, x), y)) → i(i(intu_sub, y), x)
i(i(rpow, x), i(realu_ofu_num, n)) → i(i(realu_pow, x), n)
i(w_, i(i(l_a_, m), n)) → i(i(l_, n), m)
i(w_, i(i(l_, m), n)) → i(i(l_a_, n), m)
i(i(d_, i(vec, k)), i0) → i(realu_ofu_num, k)
i(w_, i(i(realu_lt, x), y)) → i(i(realu_le, y), x)
i(i(l_, m), i(SUC, n)) → i(i(l_a_, m), n)
i(w_, i(i(intu_lt, x), y)) → i(i(intu_le, y), x)
i(realu_neg, i(i(realu_sub, x), y)) → i(i(realu_sub, y), x)
i(i(i(netord, atu_posinfinity), x), y) → i(i(realu_ge, x), y)
i(i(l_a_, i(SUC, m)), n) → i(i(l_, m), n)
i(trealu_neg, i(i(c_, x), y)) → i(i(c_, y), x)
i(i(i(netord, sequentially), m), n) → i(i(g_a_, m), n)
i(i(IN, m), i(from, n)) → i(i(l_a_, n), m)
i(mat, i(NUMERAL, i(BIT1, u_0))) → i(matrix, I)
i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))) → i(neutral, realu_mul)
i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))) → i(vectoru_norm, ii)
i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))) → i(sign, I)
i(NUMERAL, i(BIT0, i(BIT1, u_0))) → i(dimindex, UNIV)
i(NUMERAL, i(BIT1, i(BIT1, u_0))) → i(dimindex, UNIV)
i(realu_ofu_num, i(NUMERAL, i(BIT1, u_0))) → i(Im, ii)
i(Cx, i(realu_ofu_num, i(NUMERAL, u_0))) → i(vec, i(NUMERAL, u_0))
i(w_, i(i(l_a_u_c, s0), t)) → i(i(l_u_c, t), s0)
i(w_, i(i(l_u_c, s0), t)) → i(i(l_a_u_c, t), s0)
i(matrixu_neg, i(i(matrixu_sub, A), B)) → i(i(matrixu_sub, B), A)
i(vectoru_neg, i(i(vectoru_sub, x), y)) → i(i(vectoru_sub, y), x)
i(pathfinish, i(i(p_p_, g1), g2)) → i(pathfinish, g2)
i(negligible, i(i(INSERT, a), s0)) → i(negligible, s0)
i(i(orthogonal, i(vectoru_neg, x)), y) → i(i(orthogonal, x), y)
i(i(vectoru_sub, x), i(vectoru_neg, y)) → i(i(vectoru_add, x), y)
i(i(IN, x), i(setu_ofu_list, l)) → i(i(MEM, x), l)
i(i(orthogonal, x), i(vectoru_neg, y)) → i(i(orthogonal, x), y)
i(realu_negligible, i(i(INSERT, a), s0)) → i(realu_negligible, s0)
i(i(matrixu_vectoru_mul, i(transp, A)), x) → i(i(vectoru_matrixu_mul, x), A)
i(pathstart, i(i(p_p_, g1), g2)) → i(pathstart, g1)
i(vectoru_norm, i(i(rotate2d, t), z)) → i(vectoru_norm, z)
i(measure, i(i(rect, a), b)) → i(i(volu_rect, a), b)
i(COUNTABLE, i(i(DELETE, s0), x)) → i(COUNTABLE, s0)
i(COUNTABLE, i(i(INSERT, x), s0)) → i(COUNTABLE, s0)
i(complexu_inv, i(i(complexu_div, w), z)) → i(i(complexu_div, z), w)
i(LENGTH, i(i(MAP, f), l)) → i(LENGTH, l)
i(i(i(pathu_component, s0), x), x) → i(i(IN, x), s0)
i(bounded, i(i(INSERT, x), s0)) → i(bounded, s0)
i(i(complexu_mul, i(Cx, c)), x) → i(i(r_, c), x)
i(i(i(connectedu_component, s0), x), x) → i(i(IN, x), s0)
i(FINITE, i(i(DELETE, s0), x)) → i(FINITE, s0)
i(FINITE, i(i(INSERT, x), s0)) → i(FINITE, s0)
i(i(t_, m), i(NUMERAL, u_0)) → i(NUMERAL, u_0)
i(i(t_, i(NUMERAL, u_0)), n) → i(NUMERAL, u_0)
i(i(g_, i(BIT0, n)), u_0) → i(i(g_, n), u_0)
i(i(l_a_, i(BIT0, n)), u_0) → i(i(l_a_, n), u_0)
i(i(a_, i(BIT0, n)), u_0) → i(i(a_, n), u_0)
i(i(EXP, i(BIT1, m)), u_0) → i(BIT1, u_0)
i(i(EXP, i(BIT0, m)), u_0) → i(BIT1, u_0)
i(i(i(ALL2, P), NIL), NIL) → T
i(setdist, i(i(c_, s0), EMPTY)) → i(realu_ofu_num, i(NUMERAL, u_0))
i(setdist, i(i(c_, EMPTY), t)) → i(realu_ofu_num, i(NUMERAL, u_0))
i(Arg, i(Cx, i(realu_ofu_num, n))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(i(EXP, m), i(NUMERAL, u_0)) → i(NUMERAL, i(BIT1, u_0))
i(affu_dim, i(i(INSERT, a), EMPTY)) → i(intu_ofu_num, i(NUMERAL, u_0))
i(i(l_, u_0), i(BIT1, n)) → T
i(i(l_a_, u_0), i(BIT1, n)) → T
i(i(l_a_, u_0), i(BIT0, n)) → T
i(i(l_, i(BIT1, n)), u_0) → F
i(i(l_, i(BIT0, n)), u_0) → F
i(i(l_a_, i(BIT1, n)), u_0) → F
i(i(a_, u_0), i(BIT1, n)) → F
i(i(a_, i(BIT1, n)), u_0) → F
i(i(l_, m), i(NUMERAL, u_0)) → F
i(i(i(MAP2, f), NIL), l) → NIL
i(topspace, i(i(subtopology, euclidean), s0)) → s0
i(topspace, i(i(subtopology, euclideanreal), s0)) → s0
i(midpoint, i(i(c_, x), x)) → x
i(LENGTH, i(i(REPLICATE, n), x)) → n
i(i(p_, i(NUMERAL, u_0)), n) → n
i(i(m_, m), i(NUMERAL, u_0)) → m
i(i(p_, m), i(NUMERAL, u_0)) → m
i(intu_sgn, i(intu_ofu_num, i(NUMERAL, u_0))) → i(intu_ofu_num, i(NUMERAL, u_0))
i(realu_inv, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(trace, i(mat, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(tan, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(intu_abs, i(intu_ofu_num, i(NUMERAL, u_0))) → i(intu_ofu_num, i(NUMERAL, u_0))
i(intu_neg, i(intu_ofu_num, i(NUMERAL, u_0))) → i(intu_ofu_num, i(NUMERAL, u_0))
i(vectoru_norm, i(vec, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(infnorm, i(vec, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(realu_sgn, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(vectoru_neg, i(vec, i(NUMERAL, u_0))) → i(vec, i(NUMERAL, u_0))
i(realu_abs, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(sqrt, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(realu_neg, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(matrixu_neg, i(mat, i(NUMERAL, u_0))) → i(mat, i(NUMERAL, u_0))
i(atn, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(sin, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(det, i(mat, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(hrealu_inv, i(hrealu_ofu_num, i(NUMERAL, u_0))) → i(hrealu_ofu_num, i(NUMERAL, u_0))
i(asn, i(realu_ofu_num, i(NUMERAL, u_0))) → i(realu_ofu_num, i(NUMERAL, u_0))
i(rank, i(mat, i(NUMERAL, u_0))) → i(NUMERAL, u_0)
i(openu_interval, i(i(c_, a), a)) → EMPTY
i(i(i(ALL2, P), NIL), l2) → i(i(a_, l2), NIL)
i(i(REPLICATE, i(NUMERAL, u_0)), x) → NIL
i(i(i(slice, k), a), EMPTY) → EMPTY
i(i(m_, u_0), i(BIT1, n)) → u_0
i(i(m_, u_0), i(BIT0, n)) → u_0
i(i(EXP, u_0), i(BIT1, n)) → u_0
i(i(t_, i(BIT1, n)), u_0) → u_0
i(i(t_, i(BIT0, n)), u_0) → u_0
i(i(t_, u_0), i(BIT1, n)) → u_0
i(i(t_, u_0), i(BIT0, n)) → u_0
i(i(i(lifted, op), u_), NONE) → NONE
i(i(i(lifted, op), NONE), u_) → NONE
i(i(within, i(atreal, x)), UNIV) → i(atreal, x)
i(i(a_, i(floor, x)), x) → i(integer, x)
i(tan, i(i(realu_add, x), pi)) → i(tan, x)
i(i(higheru_realu_derivative, i(NUMERAL, u_0)), f) → f
i(mku_real, i(trealu_eq, i(trealu_ofu_num, m))) → i(realu_ofu_num, m)
i(mku_hreal, i(naddu_eq, i(naddu_ofu_num, m))) → i(hrealu_ofu_num, m)
i(open, i(i(IMAGE, lift), s0)) → i(realu_open, s0)
i(i(HASu_SIZE, s0), i(CARD, s0)) → i(FINITE, s0)
i(i(hasu_realu_measure, s0), i(realu_measure, s0)) → i(realu_measurable, s0)
i(isu_interval, i(i(IMAGE, lift), s0)) → i(isu_realinterval, s0)
i(measurable, i(i(IMAGE, lift), s0)) → i(realu_measurable, s0)
i(connected, i(i(IMAGE, lift), s0)) → i(isu_realinterval, s0)
i(compact, i(i(IMAGE, lift), s0)) → i(realu_compact, s0)
i(lebesgueu_measurable, i(i(IMAGE, lift), s0)) → i(realu_lebesgueu_measurable, s0)
i(open, i(i(DIFF, UNIV), s0)) → i(closed, s0)
i(realu_open, i(i(DIFF, UNIV), s0)) → i(realu_closed, s0)
i(sqrt, i(i(dot, x), x)) → i(vectoru_norm, x)
i(realu_closed, i(i(DIFF, UNIV), s0)) → i(realu_open, s0)
i(closed, i(i(DIFF, UNIV), s0)) → i(open, s0)
i(negligible, i(i(IMAGE, lift), s0)) → i(realu_negligible, s0)
i(i(DELETE, s0), i(CHOICE, s0)) → i(REST, s0)
i(i(hasu_measure, s0), i(measure, s0)) → i(measurable, s0)
i(closed, i(i(IMAGE, lift), s0)) → i(realu_closed, s0)
i(convex, i(i(IMAGE, lift), s0)) → i(isu_realinterval, s0)
i(i(INTER, i(inside, s0)), s0) → EMPTY
i(i(i(support, op), f), EMPTY) → EMPTY
i(i(INTER, i(outside, s0)), s0) → EMPTY
i(openu_segment, i(i(c_, a), a)) → EMPTY
i(i(ITER, i(NUMERAL, u_0)), f) → I
i(swap, i(i(c_, a), a)) → I
i(g, i(vec, i(NUMERAL, u_0))) → i(pathstart, g)
i(TL, i(i(CONS, h), t)) → t
i(i(i(o, f), g), x) → i(f, i(g, x))
i(i(i(affsign, sgn), s0), EMPTY) → i(i(hull, affine), s0)
i(i(i(a_a_, x), y), rel) → i(i(rel, x), y)
i(i(i(INV, R), x), y) → i(i(R, y), x)
i(netlimit, i(atreal, a)) → a
i(i(realu_min, x), x) → x
i(i(realu_max, x), x) → x
i(vectoru_neg, i(vectoru_neg, x)) → x
i(OUTR, i(INR, y)) → y
i(i(l_u_c, s0), UNIV) → i(FINITE, s0)
i(i(l_a_u_c, s0), UNIV) → i(COUNTABLE, s0)
i(i(UNION, p), p) → p
i(i(INTER, p), p) → p
i(i(subtopology, top), UNIV) → top
i(w_, i(w_, t)) → t
i(w_, i(EVEN, n)) → i(ODD, n)
i(drop, i(vec, n)) → i(realu_ofu_num, n)
i(transp, i(mat, n)) → i(mat, n)
i(ODD, i(NUMERAL, n)) → i(ODD, n)
i(EVEN, i(NUMERAL, n)) → i(EVEN, n)
i(PRE, i(BIT1, n)) → i(BIT0, n)
i(SUC, i(BIT0, n)) → i(BIT1, n)
i(i(p_, n), n) → i(BIT0, n)
i(realu_abs, i(realu_ofu_num, n)) → i(realu_ofu_num, n)
i(floor, i(realu_ofu_num, n)) → i(realu_ofu_num, n)
i(intu_abs, i(intu_ofu_num, n)) → i(intu_ofu_num, n)
i(sndcart, i(vec, n)) → i(vec, n)
i(fstcart, i(vec, n)) → i(vec, n)
i(lift, i(realu_ofu_num, n)) → i(vec, n)
i(w_, i(ODD, n)) → i(EVEN, n)
i(realu_ofu_int, i(intu_ofu_num, n)) → i(realu_ofu_num, n)
i(ODD, i(NUMERAL, u_0)) → F
i(i(l_, u_0), u_0) → F
i(i(EX, P), NIL) → F
i(i(MEM, x), NIL) → F
i(mku_nadd, i(destu_nadd, a)) → a
i(intu_abs, i(intu_abs, x)) → i(intu_abs, x)
i(intu_abs, i(intu_neg, x)) → i(intu_abs, x)
i(i(intu_max, x), x) → x
i(i(intu_min, x), x) → x
i(intu_ofu_real, i(realu_ofu_num, n)) → i(intu_ofu_num, n)
i(realu_abs, i(vectoru_norm, x)) → i(vectoru_norm, x)
i(transp, i(columnvector, v)) → i(rowvector, v)
i(i(affu_gt, EMPTY), s0) → i(conv0, s0)
i(RSTC, i(RSTC, R)) → i(RSTC, R)
i(i(exposedu_faceu_of, s0), s0) → i(convex, s0)
i(i(hull, subspace), s0) → i(span, s0)
i(dim, i(closure, s0)) → i(dim, s0)
i(i(hull, closed), s0) → i(closure, s0)
i(vectoru_norm, i(pad2d3d, x)) → i(vectoru_norm, x)
i(realu_abs, i(infnorm, x)) → i(infnorm, x)
i(i(faceu_of, s0), s0) → i(convex, s0)
i(dim, i(span, s0)) → i(dim, s0)
i(TC, i(TC, R)) → i(TC, R)
i(infnorm, i(vectoru_neg, x)) → i(infnorm, x)
i(STC, i(STC, R)) → i(STC, R)
i(i(closedu_in, euclidean), s0) → i(closed, s0)
i(i(l_a_u_c, UNIV), s0) → i(INFINITE, s0)
i(SC, i(SC, R)) → i(SC, R)
i(RTC, i(RTC, R)) → i(RTC, R)
i(columns, i(transp, A)) → i(rows, A)
i(rows, i(transp, A)) → i(columns, A)
i(i(rotate2d, pi), z) → i(vectoru_neg, z)
i(closure, i(closure, s0)) → i(closure, s0)
i(vectoru_norm, i(cnj, z)) → i(vectoru_norm, z)
i(rank, i(transp, A)) → i(rank, A)
i(RC, i(RC, R)) → i(RC, R)
i(det, i(transp, A)) → i(det, A)
i(ccos, i(vectoru_neg, z)) → i(ccos, z)
i(i(openu_in, euclideanreal), s0) → i(realu_open, s0)
i(RSC, i(RSC, R)) → i(RSC, R)
i(i(closedu_in, euclideanreal), s0) → i(realu_closed, s0)
i(real0, i(complexu_inv, z)) → i(real0, z)
i(bounded, i(closure, s0)) → i(bounded, s0)
i(compact, i(closure, s0)) → i(bounded, s0)
i(path, i(reversepath, g)) → i(path, g)
i(Re, i(cnj, z)) → i(Re, z)
i(vectoru_norm, i(vectoru_neg, x)) → i(vectoru_norm, x)
i(orthogonalu_matrix, i(transp, A)) → i(orthogonalu_matrix, A)
i(span, i(span, s0)) → i(span, s0)
i(interior, i(interior, s0)) → i(interior, s0)
i(i(g_a_u_c, UNIV), t) → i(COUNTABLE, t)
i(i(openu_in, euclidean), s0) → i(open, s0)
i(transp, i(rowvector, v)) → i(columnvector, v)
i(pathu_image, i(reversepath, g)) → i(pathu_image, g)
i(OUTL, i(INL, x)) → x
i(i(FILTER, P), NIL) → NIL
i(i(m_, u_0), u_0) → u_0
i(i(t_, u_0), u_0) → u_0
i(i(p_, u_0), u_0) → u_0
i(i(IN, x), P) → i(P, x)
i(i(LET, f), x) → i(f, x)
i(i(s_b_, p), p) → p
i(i(b_s_, p), p) → p
i(i(nsum, EMPTY), f) → i(NUMERAL, u_0)
i(intu_ofu_num, i(dimindex, UNIV)) → i(affu_dim, UNIV)
i(EVEN, i(NUMERAL, u_0)) → T
i(i(l_a_, u_0), u_0) → T
i(i(a_, u_0), u_0) → T
i(i(PAIRWISE, r), NIL) → T
i(i(ALL, P), NIL) → T
i(ODD, i(BIT1, n)) → T
i(EVEN, i(BIT0, n)) → T
i(i(pairwise, r), EMPTY) → T
i(i(a_, x), x) → T
i(ODD, i(BIT0, n)) → F
i(EVEN, i(BIT1, n)) → F
i(oneu_ABS, i(oneu_REP, a)) → a
i(intu_ofu_real, i(realu_ofu_int, a)) → a
i(pathfinish, i(reversepath, g)) → i(pathstart, g)
i(SC, i(INV, R)) → i(SC, R)
i(pathstart, i(reversepath, g)) → i(pathfinish, g)
i(i(APPEND, NIL), l) → l
i(finiteu_index, i(destu_finiteu_image, a)) → a
i(topology0, i(openu_in, a)) → a
i(REVERSE, i(REVERSE, l)) → l
i(i(APPEND, l), NIL) → l
i(mku_net, i(netord, a)) → a
i(cnj, i(cnj, z)) → z
i(i(UNION, s0), EMPTY) → s0
i(i(UNION, EMPTY), s0) → s0
i(ccos, i(cacs, z)) → z
i(lift, i(drop, x)) → x
i(reversepath, i(reversepath, g)) → g
i(intu_neg, i(intu_neg, x)) → x
i(i(IMAGE, I), s0) → s0
i(i(INTER, s0), UNIV) → s0
i(i(INTER, UNIV), s0) → s0
i(csin, i(casn, z)) → z
i(complexu_inv, i(complexu_inv, x)) → x
i(i(DIFF, s0), EMPTY) → s0
i(transp, i(transp, A)) → A
i(mku_finiteu_sum, i(destu_finiteu_sum, a)) → a
i(netlimit, i(at, a)) → a
i(mku_cart, i(destu_cart, a)) → a
i(ABSu_prod, i(REPu_prod, a)) → a
i(PRE, i(SUC, n)) → n
i(numu_ofu_int, i(intu_ofu_num, n)) → n
i(i(ZIP, NIL), NIL) → NIL
i(i(ZIP, NIL), l2) → NIL
i(realu_ofu_num, i(NUMERAL, u_0)) → i(diameter, EMPTY)
i(realu_ofu_num, i(NUMERAL, u_0)) → i(tan, pi)
i(vec, i(NUMERAL, u_0)) → i(neutral, vectoru_add)
i(realu_ofu_num, i(NUMERAL, u_0)) → i(realu_measure, EMPTY)
i(realu_ofu_num, i(NUMERAL, u_0)) → i(Re, ii)
i(realu_ofu_num, i(NUMERAL, u_0)) → i(measure, EMPTY)
i(realu_ofu_num, i(NUMERAL, u_0)) → i(content, EMPTY)
i(NUMERAL, i(BIT1, u_0)) → i(dimindex, UNIV)
i(realu_ofu_num, i(NUMERAL, u_0)) → i(neutral, realu_add)
i(realu_ofu_num, i(NUMERAL, u_0)) → i(sin, pi)
i(NUMERAL, i(BIT1, u_0)) → i(neutral, t_)
i(i(IMAGE, f), EMPTY) → EMPTY
i(i(EXP, u_0), u_0) → i(BIT1, u_0)
i(NUMERAL, i(NUMERAL, u_0)) → i(NUMERAL, u_0)
i(PRE, i(NUMERAL, u_0)) → i(NUMERAL, u_0)
i(i(IMAGE, lift), UNIV) → UNIV
i(i(IMAGE, drop), UNIV) → UNIV
i(i(hull, affine), UNIV) → UNIV
i(from, i(NUMERAL, u_0)) → UNIV
i(i(hull, convex), EMPTY) → EMPTY
i(i(hull, convex), UNIV) → UNIV
i(BIT0, i(NUMERAL, u_0)) → i(NUMERAL, u_0)
i(i(hull, affine), EMPTY) → EMPTY
i(i(hull, conic), EMPTY) → EMPTY
i(realu_abs, i(exp, x)) → i(exp, x)
i(realu_sgn, i(realu_inv, x)) → i(realu_sgn, x)
i(integer, i(realu_neg, x)) → i(integer, x)
i(rational, i(realu_neg, x)) → i(rational, x)
i(vectoru_norm, i(Cx, x)) → i(realu_abs, x)
i(realu_abs, i(realu_neg, x)) → i(realu_abs, x)
i(cos, i(realu_neg, x)) → i(cos, x)
i(integer, i(realu_abs, x)) → i(integer, x)
i(rational, i(realu_inv, x)) → i(rational, x)
i(vectoru_norm, i(lift, x)) → i(realu_abs, x)
i(realu_abs, i(realu_abs, x)) → i(realu_abs, x)
i(cnj, i(Cx, x)) → i(Cx, x)
i(cos, i(realu_abs, x)) → i(cos, x)
i(w_, i(dependent, s0)) → i(independent, s0)
i(RC, i(SC, R)) → i(RSC, R)
i(RC, i(TC, R)) → i(RTC, R)
i(TC, i(SC, R)) → i(STC, R)
i(w_, i(FINITE, s0)) → i(INFINITE, s0)
i(dim, i(rows, A)) → i(rank, A)
i(dim, i(columns, A)) → i(rank, A)
i(realu_abs, i(drop, x)) → i(vectoru_norm, x)
i(UNIONS, i(components, u)) → u
i(i(MAP, f), NIL) → NIL
i(i(INTER, s0), EMPTY) → EMPTY
i(i(INTER, EMPTY), s0) → EMPTY
i(i(pathu_component, EMPTY), x) → EMPTY
i(i(connectedu_component, EMPTY), x) → EMPTY
i(i(DIFF, EMPTY), s0) → EMPTY
i(i(pathu_component, UNIV), x) → UNIV
i(i(UNION, s0), UNIV) → UNIV
i(i(UNION, UNIV), s0) → UNIV
i(i(DIFF, s0), s0) → EMPTY
i(i(DIFF, s0), UNIV) → EMPTY
i(i(DELETE, EMPTY), x) → EMPTY
i(i(INSERT, x), UNIV) → UNIV
i(i(connectedu_component, UNIV), x) → UNIV
i(tan, i(atn, y)) → y
i(realu_inv, i(realu_inv, x)) → x
i(realu_neg, i(realu_neg, x)) → x
i(Re, i(Cx, x)) → x
i(drop, i(lift, x)) → x
i(log, i(exp, x)) → x
i(iterate, realu_mul) → product
i(iterate, realu_add) → sum
i(rconesgn, a_) → rconeu_eq
i(rconesgn, realu_ge) → rconeu_ge
i(rconesgn, realu_gt) → rconeu_gt
i(iterate, p_) → nsum
i(u_mku_rec, ZBOT) → BOTTOM
i(iterate, complexu_mul) → cproduct
i(REVERSE, NIL) → NIL
i(ODD, u_0) → F
i(w_, T) → F
i(realu_abs, pi) → pi
i(BUTLAST, NIL) → NIL
i(PRE, u_0) → u_0
i(BIT0, u_0) → u_0
i(MAP, I) → I
i(inverse, I) → I
i(EVEN, u_0) → T
i(neutral, s_b_) → T
i(evenperm, I) → T
i(w_, F) → T
i(NULL, NIL) → T
i(mku_num, INDu_0) → u_0
i(GSPEC, p) → p
i(NUMERAL, n) → n
i(I, x) → x
i(UNIONS, EMPTY) → EMPTY
i(closure, EMPTY) → EMPTY
i(span, UNIV) → UNIV
i(setu_ofu_list, NIL) → EMPTY
i(interior, EMPTY) → EMPTY
i(topspace, euclideanreal) → UNIV
i(INTERS, EMPTY) → UNIV
i(topspace, euclidean) → UNIV
i(frontier, EMPTY) → EMPTY
i(closure, UNIV) → UNIV
i(relativeu_interior, EMPTY) → EMPTY
i(inside, EMPTY) → EMPTY
i(frontier, UNIV) → EMPTY
i(outside, EMPTY) → UNIV
i(interior, UNIV) → UNIV
i(affsign, sgnu_lt) → affu_lt
i(affsign, sgnu_gt) → affu_gt
i(topology0, open) → euclidean
i(affsign, sgnu_le) → affu_le
i(topology0, realu_open) → euclideanreal
i(affsign, sgnu_ge) → affu_ge
i(LETu_END, t) → t

Q is empty.