Require Import HoTT HitTactics. Require Export Mod2. From HoTTClasses Require Import interfaces.abstract_algebra tactics.ring_tac. Section Mod2_ring. Instance Mod2_plus : Plus Mod2 := Mod2.plus. Instance Mod2_mult : Mult Mod2 := Mod2.mult. Instance Mod2_zero : Zero Mod2 := Z. Instance Mod2_one : One Mod2 := succ Z. End Mod2_ring.