Theorems · Definition · category theory
CategoryTheory.Bicategory.LeftExtension.IsKan.uniqueUpToIso
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f : a ⟶ b} → {g : a ⟶ c} → {s t : CategoryTheory.Bicategory.LeftExtension f g} → s.IsKan → t.IsKan → (s ≅ t)Kan extensions on g along f are unique up to isomorphism.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 31 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.
Cites7
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.Isostatement · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.precompstatement · cited by 40
- CategoryTheory.Bicategory.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftExtension.IsKanstatement and proof · cited by 9
- CategoryTheory.Limits.IsInitial.uniqueUpToIsoproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Lan.CommuteWith.lanCompIsoWhiskerproof · cited by 2
- CategoryTheory.Bicategory.LeftExtension.IsAbsKan.hasAbsLeftKanExtensionproof · cited by 1
- CategoryTheory.Bicategory.LeftExtension.IsKan.uniqueUpToIso_hom_rightstatement · cited by 0
- CategoryTheory.Bicategory.LeftExtension.IsKan.uniqueUpToIso_inv_rightstatement · cited by 0
- CategoryTheory.Bicategory.Lan.CommuteWith.isKanWhiskerproof · cited by 0