Theorems · Theorem · category theory
CategoryTheory.Bicategory.leftUnitor_naturality_assoc
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b : B} {f g : a ⟶ b} (η : f ⟶ g) {Z : a ⟶ b} (h : g ⟶ Z),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerLeft (CategoryTheory.CategoryStruct.id a) η)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.leftUnitor g).hom h) =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.leftUnitor f).hom
(CategoryTheory.CategoryStruct.comp η h)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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Cites9
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftstatement and proof · cited by 524
- CategoryTheory.Bicategory.leftUnitorstatement and proof · cited by 309
- CategoryTheory.Bicategory.leftUnitor_naturalityproof · cited by 1
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