Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Bicategory.toNatTrans_conjugateEquiv

∀ {C D : CategoryTheory.Cat} {L₁ L₂ : C ⟶ D} {R₁ R₂ : D ⟶ C} (adj₁ : CategoryTheory.Bicategory.Adjunction L₁ R₁)
  (adj₂ : CategoryTheory.Bicategory.Adjunction L₂ R₂) (f : L₂ ⟶ L₁),
  ((CategoryTheory.Bicategory.conjugateEquiv adj₁ adj₂) f).toNatTrans =
    (CategoryTheory.conjugateEquiv (CategoryTheory.Adjunction.ofCat adj₁) (CategoryTheory.Adjunction.ofCat adj₂))
      f.toNatTrans
Defined in
Mathlib.CategoryTheory.Bicategory.Adjunction.Cat
Cited by
0 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapEquiv · cited by 8337EquivCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Functor.id · cited by 3333Functor.idBicategory.toNatTrans_conjuga…CITED BYCITES

Cites41

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.