Theorems · Definition · category theory
CategoryTheory.Bicategory.LeftLift.lift
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} → {f : b ⟶ a} → {g : c ⟶ a} → CategoryTheory.Bicategory.LeftLift f g → (c ⟶ b)The lift of g along f.
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 25 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.
Cites4
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.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.StructuredArrow.rightproof · cited by 213
- CategoryTheory.Bicategory.LeftLiftstatement and proof · cited by 29
Cited by34
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.LeftLift.whiskerproof · cited by 15
- CategoryTheory.Bicategory.LeftLift.unitstatement · cited by 12
- CategoryTheory.Bicategory.lanLiftproof · cited by 8
- CategoryTheory.Bicategory.LeftLift.IsKan.descstatement · cited by 7
- CategoryTheory.Bicategory.LeftLift.ofIdCompproof · cited by 6
- CategoryTheory.Bicategory.lanLiftDescstatement · cited by 5
- CategoryTheory.Bicategory.LeftLift.homMkstatement and proof · cited by 2
- CategoryTheory.Bicategory.LeftLift.whiskerOfIdCompIsoSelfproof · cited by 2
- CategoryTheory.Bicategory.LeftLift.IsKan.facstatement · cited by 2
- CategoryTheory.Bicategory.LeftLift.wstatement · cited by 1
- CategoryTheory.Bicategory.LeftLift.whiskerIdCancelproof · cited by 1
- CategoryTheory.Bicategory.LeftLift.IsKan.adjunctionstatement and proof · cited by 1