∀ {k : Type u_1} {G : Type u_2} [inst : CommSemiring k] [inst_1 : Group G],
  Function.LeftInverse (Representation.ofMulAction k G G).asModuleEquiv.toAddEquiv.invFun
    (Representation.ofMulAction k G G).asModuleEquiv.toAddEquiv.toFun