Theorems · Theorem · category theory
ModuleCat.extendScalarsId_inv_app_apply
∀ {R : Type u₁} [inst : CommRing R] (M : ModuleCat R) (m : ↑M),
(CategoryTheory.ConcreteCategory.hom ((ModuleCat.extendScalarsId R).inv.app M)) m = 1 ⊗ₜ[R] m- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Functor.objstatement · cited by 19,642
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- LinearMapstatement · cited by 10,215
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Iso.invstatement · cited by 6,514
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- CategoryTheory.Functor.idstatement · cited by 3,333
- ModuleCatstatement and proof · cited by 1,429
- TensorProduct.tmulstatement · cited by 1,182
Cited by1
Results whose statement or proof uses this declaration.
- ModuleCat.homEquiv_extendScalarsIdproof · cited by 1