Theorems · Definition · category theory
CategoryTheory.Bicategory.LeftExtension.IsAbsKan
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} → {f : a ⟶ b} → {g : a ⟶ c} → CategoryTheory.Bicategory.LeftExtension f g → Type (max (max u v) w)An absolute left Kan extension is a Kan extension that commutes with any 1-morphism.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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.
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.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftExtension.whiskerproof · cited by 15
- CategoryTheory.Bicategory.LeftExtension.IsKanproof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Adjunction.isAbsoluteLeftKanstatement · cited by 1
- CategoryTheory.Bicategory.LeftExtension.IsAbsKan.hasAbsLeftKanExtensionstatement and proof · cited by 1
- CategoryTheory.Bicategory.LeftExtension.IsAbsKan.isKanstatement and proof · cited by 1
- CategoryTheory.Bicategory.LeftExtension.IsAbsKan.ofIsoAbsKanstatement and proof · cited by 1
- CategoryTheory.Bicategory.LeftExtension.IsAbsKan.adjunctionstatement and proof · cited by 0
- CategoryTheory.Bicategory.LeftExtension.IsAbsKan.descstatement and proof · cited by 0