Theorems · Theorem · category theory
CategoryTheory.Bicategory.Lan.CommuteWith.lanCompIso_hom
∀ {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)
[inst_2 : CategoryTheory.Bicategory.Lan.CommuteWith f g h],
(CategoryTheory.Bicategory.Lan.CommuteWith.lanCompIso f g h).hom =
CategoryTheory.Bicategory.lanDesc ((CategoryTheory.Bicategory.lanLeftExtension f g).whisker h)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.Commastatement · cited by 566
- CategoryTheory.Comma.sndstatement · cited by 51
- CategoryTheory.Bicategory.precompstatement · cited by 40
- CategoryTheory.Bicategory.HasLeftKanExtensionstatement and proof · cited by 19
- CategoryTheory.Bicategory.LeftExtension.whiskerstatement · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.