∀ (R : Type u) {ι : Type v} [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),
  fromModuleCatToModuleCatLinearEquivtoModuleCatObj R M i =
    {
      toFun :=
        (AddEquiv.refl
            ↑(((ModuleCat.toMatrixModCat R ι).comp (MatrixModCat.toModuleCat R i)).obj (ModuleCat.of R M))).toFun,
      map_add' := ⋯, map_smul' := ⋯,
      invFun :=
        (AddEquiv.refl
            ↑(((ModuleCat.toMatrixModCat R ι).comp (MatrixModCat.toModuleCat R i)).obj (ModuleCat.of R M))).invFun,
      left_inv := ⋯, right_inv := ⋯ }