Theorems · Definition · category theory
CategoryTheory.Equivalence.mkHom
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → {e f : C ≌ D} → (e.functor ⟶ f.functor) → (e ⟶ f)Promote a natural transformation e.functor ⟶ f.functor to a morphism in C ≌ D.
- Defined in
- Mathlib.CategoryTheory.Equivalence
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Equivalencestatement and proof · cited by 601
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.Equivalence.symmEquivInverseproof · cited by 10
- CategoryTheory.Equivalence.symmEquivFunctorproof · cited by 5
- CategoryTheory.Equivalence.congrLeftFunctorproof · cited by 2
- CategoryTheory.Equivalence.mkIsoproof · cited by 2
- CategoryTheory.Equivalence.congrRightFunctorproof · cited by 2
- CategoryTheory.Equivalence.mkHom_compstatement · cited by 1
- CategoryTheory.Equivalence.asNatTrans_mkHomstatement · cited by 0
- CategoryTheory.Equivalence.symmEquivFunctor_mapstatement · cited by 0
- CategoryTheory.Equivalence.symmEquivInverse_map_appstatement · cited by 0
- CategoryTheory.Equivalence.mkHom_asNatTransstatement · cited by 0
- CategoryTheory.Equivalence.mkHom_comp_assocstatement and proof · cited by 0
- CategoryTheory.Equivalence.congrLeftFunctor_mapstatement · cited by 0