Theorems · Theorem · category theory
CategoryTheory.Bicategory.associatorNatIsoLeftCat_hom_toNatTrans_app
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] (a : B) {b c d : B} (g : b ⟶ c) (h : c ⟶ d)
(X : ↑(CategoryTheory.Cat.of (a ⟶ b))),
(CategoryTheory.Bicategory.associatorNatIsoLeftCat a g h).hom.toNatTrans.app X =
(CategoryTheory.Bicategory.associator X g h).hom- 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
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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.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- 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
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