Theorems · Theorem · category theory
CategoryTheory.Bicategory.Lan.CommuteWith.commute
∀ {B : Type u} {inst : CategoryTheory.Bicategory B} {a b c : B} {f : a ⟶ b} {g : a ⟶ c}
{inst_1 : CategoryTheory.Bicategory.HasLeftKanExtension f g} {x : B} {h : c ⟶ x}
[self : CategoryTheory.Bicategory.Lan.CommuteWith f g h],
Nonempty ((CategoryTheory.Bicategory.lanLeftExtension f g).whisker h).IsKan- Cited by
- 0 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.
Cites8
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.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.HasLeftKanExtensionstatement and proof · cited by 19
- CategoryTheory.Bicategory.LeftExtension.whiskerstatement · cited by 15
- CategoryTheory.Bicategory.lanLeftExtensionstatement · cited by 10
- CategoryTheory.Bicategory.Lan.CommuteWithstatement and proof · cited by 10
- CategoryTheory.Bicategory.LeftExtension.IsKanstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Lan.CommuteWith.isKanproof · cited by 4