Theorems · Theorem · category theory
CategoryTheory.Bicategory.LeftExtension.IsKan.fac
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : a ⟶ b} {g : a ⟶ c}
{t : CategoryTheory.Bicategory.LeftExtension f g} (H : t.IsKan) (s : CategoryTheory.Bicategory.LeftExtension f g),
CategoryTheory.CategoryStruct.comp t.unit (CategoryTheory.Bicategory.whiskerLeft f (H.desc s)) = s.unit- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 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.
Cites10
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.whiskerLeftstatement · cited by 524
- CategoryTheory.Bicategory.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftExtension.extensionstatement · cited by 19
- CategoryTheory.Bicategory.LeftExtension.unitstatement · cited by 12
- CategoryTheory.Bicategory.LeftExtension.IsKanstatement and proof · cited by 9
- CategoryTheory.Bicategory.LeftExtension.IsKan.descstatement · cited by 7
- CategoryTheory.StructuredArrow.IsUniversal.facproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.lanUnit_descproof · cited by 1
- CategoryTheory.Bicategory.LeftExtension.IsKan.fac_assocproof · cited by 0