Theorems · Theorem · category theory
CategoryTheory.Bicategory.Strict.associator_eqToIso
∀ {B : Type u} {inst : CategoryTheory.Bicategory B} [self : CategoryTheory.Bicategory.Strict B] {a b c d : B}
(f : a ⟶ b) (g : b ⟶ c) (h : c ⟶ d), CategoryTheory.Bicategory.associator f g h = CategoryTheory.eqToIso ⋯The associators are given by equalities
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.associatorstatement · cited by 405
- CategoryTheory.eqToIsostatement · cited by 97
- CategoryTheory.Bicategory.Strictstatement and proof · cited by 87
- CategoryTheory.Bicategory.Strict.assocstatement · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.LaxFunctor.whiskerLeft_mapComp'_comp_mapComp'proof · cited by 2
- CategoryTheory.OplaxFunctor.mapComp'_comp_whiskerLeft_mapComp'proof · cited by 1
- CategoryTheory.Pseudofunctor.Grothendieck.map_comp_eqproof · cited by 0
- CategoryTheory.Pseudofunctor.CoGrothendieck.map_comp_eqproof · cited by 0