Theorems · Definition · category theory
CategoryTheory.Bicategory.RightLift.whisker
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f : b ⟶ a} →
{g : c ⟶ a} →
CategoryTheory.Bicategory.RightLift f g →
{x : B} → (h : x ⟶ c) → CategoryTheory.Bicategory.RightLift f (CategoryTheory.CategoryStruct.comp h g)Whisker a 1-morphism to a lift.
``
b
◹ |
lift / | | counit
/ | f ▽
/ ▽
x - - - ▷ c - - - ▷ a
h g
``
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 27 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 and proof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftproof · cited by 524
- CategoryTheory.Bicategory.associatorproof · cited by 405
- CategoryTheory.Bicategory.RightLiftstatement and proof · cited by 19
- CategoryTheory.Bicategory.RightLift.liftproof · cited by 13
- CategoryTheory.Bicategory.RightLift.counitproof · cited by 8
- CategoryTheory.Bicategory.RightLift.mkproof · cited by 0
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.RightLift.whiskeringproof · cited by 2
- CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelfstatement · cited by 2
- CategoryTheory.Bicategory.RightLift.whiskerHomstatement · cited by 1
- CategoryTheory.Bicategory.RightLift.whiskerIdCancelstatement and proof · cited by 1
- CategoryTheory.Bicategory.RightLift.IsAbsKanproof · cited by 0
- CategoryTheory.Bicategory.RightLift.IsAbsKan.isKanproof · cited by 0
- CategoryTheory.Bicategory.RightLift.IsKan.ofIdCompproof · cited by 0
- CategoryTheory.Bicategory.RightLift.whiskerHom_leftstatement · cited by 0
- CategoryTheory.Bicategory.RightLift.whiskerIdCancel_leftstatement and proof · cited by 0
- CategoryTheory.Bicategory.RightLift.whiskerIsostatement · cited by 0
- CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf_hom_leftstatement · cited by 0
- CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelf_inv_leftstatement · cited by 0