Theorems · Definition · category theory
CategoryTheory.Bicategory.lanLiftLeftLift
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
(f : b ⟶ a) →
(g : c ⟶ a) → [CategoryTheory.Bicategory.HasLeftKanLift f g] → CategoryTheory.Bicategory.LeftLift f gThe left Kan lift of g along f at the level of structured arrows.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Limits.initialproof · cited by 84
- CategoryTheory.Bicategory.LeftLiftstatement and proof · cited by 29
- CategoryTheory.Bicategory.HasLeftKanLiftstatement and proof · cited by 19
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.lanLiftproof · cited by 8
- CategoryTheory.Bicategory.lanLiftIsKanstatement · cited by 6
- CategoryTheory.Bicategory.lanLiftUnitproof · cited by 5
- CategoryTheory.Bicategory.LanLift.CommuteWith.isKanstatement · cited by 4
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIsoWhiskerstatement · cited by 2
- CategoryTheory.Bicategory.LanLift.CommuteWith.casesOnstatement and proof · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.commutestatement · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.isKan.congr_simpstatement · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.isKanWhiskerproof · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIsoWhisker_hom_rightstatement · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIsoWhisker_inv_rightstatement · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIso_homstatement · cited by 0