Theorems · Theorem · category theory
CategoryTheory.FreeBicategory.liftHom_comp
∀ {B : Type u₁} [inst : Quiver B] {C : Type u₂} [inst_1 : CategoryTheory.CategoryStruct.{v₂, u₂} C] (F : B ⥤q C)
{a b c : CategoryTheory.FreeBicategory B} (f : a ⟶ b) (g : b ⟶ c),
CategoryTheory.FreeBicategory.liftHom F (CategoryTheory.CategoryStruct.comp f g) =
CategoryTheory.CategoryStruct.comp (CategoryTheory.FreeBicategory.liftHom F f)
(CategoryTheory.FreeBicategory.liftHom F g)- Defined in
- Mathlib.CategoryTheory.Bicategory.Free
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- Foundations
- Depth 8 from the axioms · uses no axioms
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- Prefunctor.objstatement · cited by 1,241
- Quiverstatement and proof · cited by 405
- CategoryTheory.CategoryStructstatement and proof · cited by 343
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.FreeBicategorystatement and proof · cited by 51
- CategoryTheory.FreeBicategory.liftHomstatement · cited by 8
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