Theorems · Definition · category theory
CategoryTheory.Bicategory.LeftLift
{B : Type u} → [inst : CategoryTheory.Bicategory B] → {a b c : B} → (b ⟶ a) → (c ⟶ a) → Type (max v w)Triangle diagrams for (left) lifts.
``
b
◹ |
lift / | △
/ | f | unit
/ ▽
c - - - ▷ a
g
``
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 24 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.StructuredArrowproof · cited by 370
- CategoryTheory.Bicategory.postcompproof · cited by 48
Cited by62
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.LeftLift.liftstatement and proof · cited by 21
- CategoryTheory.Bicategory.LeftLift.whiskerstatement and proof · cited by 15
- CategoryTheory.Bicategory.LeftLift.unitstatement and proof · cited by 12
- CategoryTheory.Bicategory.lanLiftLeftLiftstatement and proof · cited by 10
- CategoryTheory.Bicategory.LeftLift.IsKanstatement and proof · cited by 9
- CategoryTheory.Bicategory.LeftLift.IsKan.descstatement and proof · cited by 7
- CategoryTheory.Bicategory.LeftLift.ofIdCompstatement and proof · cited by 6
- CategoryTheory.Bicategory.lanLiftDescstatement and proof · cited by 5
- CategoryTheory.Bicategory.LeftLift.IsKan.uniqueUpToIsostatement and proof · cited by 3
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIsoWhiskerstatement · cited by 2
- CategoryTheory.Bicategory.LeftLift.IsKan.facstatement and proof · cited by 2
- CategoryTheory.Bicategory.LeftLift.IsKan.ofIsoKanstatement and proof · cited by 2