Theorems · Definition · category theory
CategoryTheory.Bicategory.postcomp
{B : Type u} →
[inst : CategoryTheory.Bicategory B] → {b c : B} → (a : B) → (b ⟶ c) → CategoryTheory.Functor (a ⟶ b) (a ⟶ c)Postcomposition of a 1-morphism as a functor.
- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 48 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightproof · cited by 531
Cited by77
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.LeftLiftproof · cited by 29
- CategoryTheory.Bicategory.RightLiftproof · cited by 19
- CategoryTheory.Bicategory.postcomposingCatproof · cited by 18
- CategoryTheory.Bicategory.postcomposingproof · cited by 11
- CategoryTheory.Bicategory.LeftLift.IsKan.uniqueUpToIsostatement · cited by 3
- CategoryTheory.Bicategory.RightLift.homMkstatement · cited by 2
- CategoryTheory.Bicategory.LanLift.CommuteWith.lanLiftCompIsoWhiskerstatement · cited by 2
- CategoryTheory.Bicategory.RightLift.whiskerOfIdCompIsoSelfstatement · cited by 2
- CategoryTheory.Bicategory.RightLift.whiskeringstatement · cited by 2
- CategoryTheory.Bicategory.LeftLift.IsKan.ofIsoKanstatement · cited by 2
- CategoryTheory.Bicategory.LeftLift.homMkstatement · cited by 2
- CategoryTheory.Bicategory.LeftLift.whiskerOfIdCompIsoSelfstatement · cited by 2