Theorems · Definition · category theory
CategoryTheory.Bicategory.LeftExtension.unit
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f : a ⟶ b} →
{g : a ⟶ c} →
(t : CategoryTheory.Bicategory.LeftExtension f g) → g ⟶ CategoryTheory.CategoryStruct.comp f t.extensionThe 2-morphism filling the triangle diagram.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 26 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.
Cites6
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.StructuredArrow.homproof · cited by 150
- CategoryTheory.Bicategory.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftExtension.extensionstatement · cited by 19
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.LeftExtension.whiskerproof · cited by 15
- CategoryTheory.Bicategory.LeftExtension.ofCompIdproof · cited by 6
- CategoryTheory.Bicategory.lanUnitproof · cited by 5
- CategoryTheory.Bicategory.LeftExtension.homMkstatement and proof · cited by 2
- CategoryTheory.Bicategory.LeftExtension.IsKan.facstatement · cited by 2
- CategoryTheory.Bicategory.LeftExtension.IsKan.adjunctionproof · cited by 1
- CategoryTheory.Bicategory.Adjunction.isAbsoluteLeftKanproof · cited by 1
- CategoryTheory.Bicategory.LeftExtension.wstatement · cited by 1
- CategoryTheory.Bicategory.lanUnit_descstatement · cited by 1
- CategoryTheory.Bicategory.LeftExtension.whisker_unitstatement · cited by 0
- CategoryTheory.Bicategory.LeftExtension.homMk.congr_simpstatement and proof · cited by 0
- CategoryTheory.Bicategory.lanUnit_desc_assocstatement and proof · cited by 0