Theorems · Definition · category theory
AlgCat.Hom.hom
{R : Type u} → [inst : CommRing R] → {A B : AlgCat R} → A.Hom B → ↑A →ₐ[R] ↑BTurn a morphism in AlgCat back into an AlgHom.
- Defined in
- Mathlib.Algebra.Category.AlgCat.Basic
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- AlgHomstatement · cited by 3,236
- AlgCatstatement and proof · cited by 75
- AlgCat.carrierstatement · cited by 61
- AlgCat.Homstatement and proof · cited by 2
Cited by32
Results whose statement or proof uses this declaration.
- AlgCat.restrictScalarsproof · cited by 10
- CategoryTheory.Iso.toAlgEquivproof · cited by 3
- ModuleCat.MonModuleEquivalenceAlgebra.inverseproof · cited by 3
- AlgCat.hom_extstatement and proof · cited by 1
- AlgCat.intEquivalence_inverse_map_homstatement and proof · cited by 0
- AlgCat.intEquivalence_unitIso_hom_app_hom_applystatement and proof · cited by 0
- AlgCat.ofHom_homstatement · cited by 0
- ModuleCat.MonModuleEquivalenceAlgebra.functor_map_hom_applystatement and proof · cited by 0
- AlgCat.restrictScalarsComp'_hom_app_hom_applystatement and proof · cited by 0
- AlgCat.restrictScalarsComp'_inv_app_hom_applystatement and proof · cited by 0
- ModuleCat.MonModuleEquivalenceAlgebra.inverse_map_homstatement · cited by 0
- AlgCat.restrictScalarsId'_hom_app_hom_applystatement and proof · cited by 0