Theorems · Theorem · category theory
CategoryTheory.Bicategory.associatorNatIsoMiddleCat_inv_toNatTrans_app
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c d : B} (f : a ⟶ b) (h : c ⟶ d)
(X : ↑(CategoryTheory.Cat.of (b ⟶ c))),
(CategoryTheory.Bicategory.associatorNatIsoMiddleCat f h).inv.toNatTrans.app X =
(CategoryTheory.Bicategory.associator f X h).inv- Defined in
- Mathlib.CategoryTheory.Bicategory.Yoneda
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Bundled.αstatement and proof · cited by 736
- CategoryTheory.Cat.Hom.toFunctorstatement · cited by 531
- CategoryTheory.Bicategory.associatorstatement · cited by 405
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.