∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_3, u_2} C] {J : CategoryTheory.GrothendieckTopology C}
  {R : CategoryTheory.Sheaf J RingCat} [inst_1 : CategoryTheory.HasWeakSheafify J AddCommGrpCat]
  [inst_2 : J.WEqualsLocallyBijective AddCommGrpCat]
  [inst_3 : J.HasSheafCompose (CategoryTheory.forget₂ RingCat AddCommGrpCat)] (X : Type u_1),
  SheafOfModules.freeMap (CategoryTheory.CategoryStruct.id X) = CategoryTheory.CategoryStruct.id (SheafOfModules.free X)