Theorems · Theorem · category theory
CategoryTheory.FreeBicategory.lift_toPrelaxFunctor_toPrelaxFunctorStruct_toPrefunctor_map
∀ {B : Type u₁} [inst : Quiver B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C] (F : B ⥤q C)
{X Y : CategoryTheory.FreeBicategory B} (a : X ⟶ Y),
(CategoryTheory.FreeBicategory.lift F).map a = CategoryTheory.FreeBicategory.liftHom F a- Defined in
- Mathlib.CategoryTheory.Bicategory.Free
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objstatement · cited by 1,241
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructstatement and proof · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorstatement and proof · cited by 1,142
- Prefunctor.mapstatement and proof · cited by 952
- CategoryTheory.Pseudofunctor.toPrelaxFunctorstatement and proof · cited by 640
- Quiverstatement and proof · cited by 405
- Prefunctorstatement and proof · cited by 116
- CategoryTheory.FreeBicategorystatement and proof · cited by 51
- CategoryTheory.FreeBicategory.liftHomstatement · cited by 8
- CategoryTheory.FreeBicategory.liftstatement and proof · cited by 5
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