Theorems · Definition · category theory
CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f : b ⟶ a} →
{g : c ⟶ a} →
(t : CategoryTheory.Bicategory.RightLift f g) → (t.whisker (CategoryTheory.CategoryStruct.id c)).ofIdComp ≅ tThe isomorphism between right lifts induced by a left unitor.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 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.
Cites11
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.idstatement · cited by 6,235
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.leftUnitorproof · cited by 309
- CategoryTheory.Bicategory.postcompstatement · cited by 48
- CategoryTheory.Bicategory.RightLiftstatement and proof · cited by 19
- CategoryTheory.CostructuredArrow.isoMkproof · cited by 14
- CategoryTheory.Bicategory.RightLift.liftproof · cited by 13
- CategoryTheory.Bicategory.RightLift.whiskerstatement · cited by 8
- CategoryTheory.Bicategory.RightLift.ofIdCompstatement · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf_hom_leftstatement and proof · cited by 0
- CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf_inv_leftstatement and proof · cited by 0
- CategoryTheory.Bicategory.RightLift.IsAbsKan.isKanproof · cited by 0