proposition: Lemma int_abs_ne_0 x : int_abs Z N x ≠ 0 ↔ x ≠ 0.
proof: Proof. destruct (int_abs_0_alt x). intuition. Defined.
imports: Coq.setoid_ring.Ring MathClasses.interfaces.naturals MathClasses.interfaces.abstract_algebra MathClasses.interfaces.orders MathClasses.orders.nat_int MathClasses.theory.integers MathClasses.theory.rings MathClasses.orders.rings