Theorems · Theorem · category theory
CategoryTheory.Bicategory.rightUnitor_hom_congr
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {x y : B} {f f' : x ⟶ y} (h : f = f'),
(CategoryTheory.Bicategory.rightUnitor f).hom =
CategoryTheory.CategoryStruct.comp
(CategoryTheory.Bicategory.whiskerRight (CategoryTheory.eqToHom h) (CategoryTheory.CategoryStruct.id y))
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.rightUnitor f').hom (CategoryTheory.eqToHom ⋯))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
- Assumes
- CategoryTheory.Bicategory
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Cites13
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.invproof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.eqToHomstatement · cited by 860
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
- CategoryTheory.Bicategory.rightUnitorstatement and proof · cited by 308
- CategoryTheory.Iso.hom_inv_idproof · cited by 264
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