fact: Definition in_cosetL_cong {G : Group} {N : NormalSubgroup G} (x x' y y' : G) : in_cosetL N x y -> in_cosetL N x' y' -> in_cosetL N (x * x') (y * y').
imports: Basics Types HFiber WildCat.Core Truncations.Core Algebra.Groups.Group TruncType