Theorems · Definition · category theory
CategoryTheory.Bicategory.RightLift.whiskerIso
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f : b ⟶ a} →
{g : c ⟶ a} →
{s t : CategoryTheory.Bicategory.RightLift f g} → (s ≅ t) → {x : B} → (h : x ⟶ c) → s.whisker h ≅ t.whisker hConstruct an isomorphism between whiskered lifts.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 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.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.postcompstatement · cited by 48
- CategoryTheory.Bicategory.RightLiftstatement and proof · cited by 19
- CategoryTheory.Bicategory.RightLift.whiskerstatement · cited by 8
- CategoryTheory.Bicategory.RightLift.whiskerHomproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.RightLift.IsKan.whiskerOfCommuteproof · cited by 0
- CategoryTheory.Bicategory.RightLift.IsAbsKan.ofIsoAbsKanproof · cited by 0