∀ (R : Type u_3) {ι : Type u_2} [inst : Ring R] [inst_1 : Fintype ι] [inst_2 : DecidableEq ι] (M : Type u_1)
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] (i : ι),
  Function.RightInverse
    (AddEquiv.refl
        ↑(((ModuleCat.toMatrixModCat R ι).comp (MatrixModCat.toModuleCat R i)).obj (ModuleCat.of R M))).invFun
    (AddEquiv.refl ↑(((ModuleCat.toMatrixModCat R ι).comp (MatrixModCat.toModuleCat R i)).obj (ModuleCat.of R M))).toFun