{R : Ring} {x y z : R} `{IsInvertible R y} : x = y * z <~> inverse_elem y * x = z := equiv_moveR_equiv_V (f := (y *.
Require Import WildCat. Require Import Spaces.Nat.Core Spaces.Nat.Arithmetic. Require Import Classes.interfaces.abstract_algebra. Require Import Algebra.Groups.Group Algebra.Groups.Subgroup. Require Import Modalities.ReflectiveSubuniverse.