Theorems · Theorem · category theory
CategoryTheory.Bicategory.InducedBicategory.bicategory_homCategory_id_hom
∀ {B : Type u_1} {C : Type u_2} [inst : CategoryTheory.Bicategory C] {F : B → C}
(a b : CategoryTheory.Bicategory.InducedBicategory C F) (f : a ⟶ b),
(CategoryTheory.CategoryStruct.id f).hom = CategoryTheory.CategoryStruct.id f.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- 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.idstatement and proof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.InducedBicategorystatement and proof · cited by 39
- CategoryTheory.Bicategory.InducedBicategory.Hom.homstatement · cited by 36
- CategoryTheory.Bicategory.InducedBicategory.Hom₂.homstatement and proof · cited by 25
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.