Theorems · Theorem · category theory
CategoryTheory.Adjunction.mkOfHomEquiv_homEquiv
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : CategoryTheory.Adjunction.CoreHomEquiv F G),
(CategoryTheory.Adjunction.mkOfHomEquiv adj).homEquiv = adj.homEquiv- Defined in
- Mathlib.CategoryTheory.Adjunction.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Equivstatement · cited by 8,337
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Equiv.symmproof · cited by 3,681
- CategoryTheory.Category.id_compproof · cited by 1,998
Cited by14
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.isIso_lanAdjunction_homEquiv_symm_iffproof · cited by 1
- PresheafOfModules.colimitAdjunction_homEquivproof · cited by 1
- CategoryTheory.Presheaf.uliftYonedaAdjunction_homEquiv_appproof · cited by 1
- Rep.homEquiv_defproof · cited by 1
- Rep.coindResAdjunction_homEquiv_symm_applyproof · cited by 0
- ModuleCat.adj_homEquivproof · cited by 0
- Rep.resIndAdjunction_homEquiv_applyproof · cited by 0
- CategoryTheory.Functor.isIso_ranAdjunction_homEquiv_iffproof · cited by 0