Theorems · Definition · category theory
CategoryTheory.Bicategory.lanLift
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} → (f : b ⟶ a) → (g : c ⟶ a) → [CategoryTheory.Bicategory.HasLeftKanLift f g] → c ⟶ bThe left Kan lift of g along f.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 29 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.Bicategory.LeftLift.liftproof · cited by 21
- CategoryTheory.Bicategory.HasLeftKanLiftstatement and proof · cited by 19
- CategoryTheory.Bicategory.lanLiftLeftLiftproof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.lanLiftDescstatement · cited by 5
- CategoryTheory.Bicategory.lanLiftUnitstatement · cited by 5
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIsostatement · cited by 2
- CategoryTheory.Bicategory.lanLiftUnit_descstatement · cited by 1
- CategoryTheory.Bicategory.lanLift.congr_simpstatement and proof · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIso_homstatement · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIso_invstatement · cited by 0
- CategoryTheory.Bicategory.LanLift.CommuteWith.of_lanLift_comp_isostatement and proof · cited by 0
- CategoryTheory.Bicategory.lanLiftLeftLift_liftstatement · cited by 0
- CategoryTheory.Bicategory.lanLiftUnit_desc_assocstatement · cited by 0
- CategoryTheory.Bicategory.LanLift.existsUniquestatement · cited by 0