Theorems · Theorem · category theory
CategoryTheory.Bicategory.lanLiftUnit_desc
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : b ⟶ a} {g : c ⟶ a}
[inst_1 : CategoryTheory.Bicategory.HasLeftKanLift f g] (s : CategoryTheory.Bicategory.LeftLift f g),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.lanLiftUnit f g)
(CategoryTheory.Bicategory.whiskerRight (CategoryTheory.Bicategory.lanLiftDesc s) f) =
s.unit- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.HasLeftKanLiftstatement and proof · cited by 19
- CategoryTheory.Bicategory.LeftLift.unitstatement · cited by 12
- CategoryTheory.Bicategory.lanLiftstatement · cited by 8
- CategoryTheory.Bicategory.lanLiftIsKanproof · cited by 6
- CategoryTheory.Bicategory.lanLiftDescstatement · cited by 5
- CategoryTheory.Bicategory.lanLiftUnitstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.lanLiftUnit_desc_assocproof · cited by 0