Theorems · Theorem · category theory
CategoryTheory.Bicategory.leftUnitor_comp
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
(CategoryTheory.Bicategory.leftUnitor (CategoryTheory.CategoryStruct.comp f g)).hom =
CategoryTheory.CategoryStruct.comp
(CategoryTheory.Bicategory.associator (CategoryTheory.CategoryStruct.id a) f g).inv
(CategoryTheory.Bicategory.whiskerRight (CategoryTheory.Bicategory.leftUnitor f).hom g)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 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.
Cites11
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 and proof · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
- CategoryTheory.Bicategory.associatorstatement and proof · cited by 405
- CategoryTheory.Bicategory.leftUnitorstatement and proof · cited by 309
- CategoryTheory.Iso.inv_hom_id_assocproof · cited by 275
- CategoryTheory.Bicategory.leftUnitor_whiskerRightproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.leftUnitor_comp_assocproof · cited by 0