Theorems · Definition · category theory
CategoryTheory.Bicategory.LeftExtension.IsKan.whiskerOfCommute
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f : a ⟶ b} →
{g : a ⟶ c} →
(s t : CategoryTheory.Bicategory.LeftExtension f g) →
(s ≅ t) → {x : B} → (h : c ⟶ x) → (s.whisker h).IsKan → (t.whisker h).IsKanIf s ≅ t and IsKan (s.whisker h), then IsKan (t.whisker h).
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.precompstatement · cited by 40
- CategoryTheory.Bicategory.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftExtension.whiskerstatement and proof · cited by 15
- CategoryTheory.Bicategory.LeftExtension.IsKanstatement and proof · cited by 9
- CategoryTheory.Bicategory.LeftExtension.IsKan.ofIsoKanproof · cited by 2
- CategoryTheory.Bicategory.LeftExtension.whiskerIsoproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Lan.CommuteWith.isKanWhiskerproof · cited by 0