Theorems · Theorem · category theory

CategoryTheory.FreeBicategory.lift_mapId

∀ {B : Type u₁} [inst : Quiver B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C] (F : B ⥤q C)
  (x : CategoryTheory.FreeBicategory B),
  (CategoryTheory.FreeBicategory.lift F).mapId x =
    CategoryTheory.Iso.refl (CategoryTheory.FreeBicategory.liftHom F (CategoryTheory.CategoryStruct.id x))

Defined in: Mathlib.CategoryTheory.Bicategory.Free
Cited by: 0 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Quiver CategoryTheory.Bicategory

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Quiver.Homstatement · cited by 32,603
CategoryTheory.CategoryStruct.idstatement · cited by 6,235
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Bicategorystatement and proof · cited by 1,587
Prefunctor.objstatement · cited by 1,241
CategoryTheory.Iso.reflstatement · cited by 727
Quiverstatement and proof · cited by 405
CategoryTheory.Pseudofunctor.mapIdstatement and proof · cited by 175
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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