int_mul_0_r@{} (x : Int) : x * 0 = 0. Proof. induction x as [|x IHx|x IHx]. - reflexivity. - by rewrite int_mul_succ_l, int_add_0_l. - by rewrite int_mul_pred_l, int_add_0_l. Defined.
Require Import Basics.Overture Basics.Nat Basics.Tactics Basics.Decidable Basics.Equivalences Basics.PathGroupoids Types.Paths Types.Universe. Require Import Spaces.Nat.Core.