Theorems · Inductive type · category theory
CategoryTheory.Bicategory.HasLeftKanExtension
{B : Type u} → [inst : CategoryTheory.Bicategory B] → {a b c : B} → (a ⟶ b) → (a ⟶ c) → PropThe existence of a left Kan extension of g along f.
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Bicategorystatement · cited by 1,587
Cited by35
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Lan.CommuteWithstatement · cited by 10
- CategoryTheory.Bicategory.lanLeftExtensionstatement and proof · cited by 10
- CategoryTheory.Bicategory.lanstatement and proof · cited by 8
- CategoryTheory.Bicategory.lanIsKanstatement and proof · cited by 6
- CategoryTheory.Bicategory.lanDescstatement and proof · cited by 5
- CategoryTheory.Bicategory.lanUnitstatement and proof · cited by 5
- CategoryTheory.Bicategory.Lan.CommuteWith.isKanstatement and proof · cited by 4
- CategoryTheory.Bicategory.Lan.CommuteWith.lanCompIsostatement and proof · cited by 2
- CategoryTheory.Bicategory.Lan.CommuteWith.lanCompIsoWhiskerstatement and proof · cited by 2
- CategoryTheory.Bicategory.LeftExtension.IsAbsKan.hasAbsLeftKanExtensionproof · cited by 1
- CategoryTheory.Bicategory.LeftExtension.IsKan.hasLeftKanExtensionstatement · cited by 1
- CategoryTheory.Bicategory.lanUnit_descstatement and proof · cited by 1