Theorems · Theorem · category theory
CategoryTheory.Bicategory.LeftLift.IsKan.fac
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : b ⟶ a} {g : c ⟶ a}
{t : CategoryTheory.Bicategory.LeftLift f g} (H : t.IsKan) (s : CategoryTheory.Bicategory.LeftLift f g),
CategoryTheory.CategoryStruct.comp t.unit (CategoryTheory.Bicategory.whiskerRight (H.desc s) f) = 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.whiskerRightstatement · cited by 531
- CategoryTheory.Bicategory.LeftLiftstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftLift.liftstatement · cited by 21
- CategoryTheory.Bicategory.LeftLift.unitstatement · cited by 12
- CategoryTheory.Bicategory.LeftLift.IsKanstatement and proof · cited by 9
- CategoryTheory.Bicategory.LeftLift.IsKan.descstatement · cited by 7
- CategoryTheory.StructuredArrow.IsUniversal.facproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.lanLiftUnit_descproof · cited by 1
- CategoryTheory.Bicategory.LeftLift.IsKan.fac_assocproof · cited by 0