Theorems · Theorem · category theory
CategoryTheory.Bicategory.InducedBicategory.forget_mapComp_inv
∀ {B : Type u_1} {C : Type u_2} [inst : CategoryTheory.Bicategory C] {F : B → C}
{a b c : CategoryTheory.Bicategory.InducedBicategory C F} (f : a ⟶ b) (g : b ⟶ c),
(CategoryTheory.Bicategory.InducedBicategory.forget.mapComp f g).inv =
CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.comp f.hom g.hom)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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Cites18
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 · cited by 17,999
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objstatement · cited by 1,241
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- CategoryTheory.PrelaxFunctorStruct.toPrefunctorstatement · cited by 1,142
- Prefunctor.mapstatement · cited by 952
- CategoryTheory.Pseudofunctor.mapCompstatement and proof · cited by 177
- CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctorstatement and proof · cited by 103
- CategoryTheory.StrictPseudofunctor.toStrictlyUnitaryPseudofunctorstatement and proof · cited by 60
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