Theorems · Definition · category theory
TypeCat.homEquiv
{X Y : Type u} → (X ⟶ Y) ≃ (X → Y)TypeCat.Hom.hom bundled as an Equiv.
- Defined in
- Mathlib.CategoryTheory.Types.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, 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.
- Quiver.Homstatement · cited by 32,603
- Equivstatement · cited by 8,337
- Equiv.transproof · cited by 337
- CategoryTheory.ConcreteCategory.homEquivproof · cited by 1
- TypeCat.Fun.homEquivproof · cited by 0
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.ofHom_epi_iff_surjectiveproof · cited by 5
- CategoryTheory.Sheaf.ΓObjEquivHomproof · cited by 2
- CategoryTheory.Sheaf.ΓObjEquivSectionsproof · cited by 2
- CategoryTheory.Codiscrete.adjproof · cited by 2
- CategoryTheory.Limits.Types.unique_of_type_equalizerproof · cited by 1
- TypeCat.homEquiv_applystatement · cited by 0
- TypeCat.homEquiv_symm_applystatement · cited by 0
- GrpCat.adjproof · cited by 0
- CategoryTheory.Cat.connectedComponentsTypeToCatAdjproof · cited by 0
- AddCommGrpCat.adjproof · cited by 0
- AddMonCat.adjproof · cited by 0
- MonCat.adjproof · cited by 0