Theorems · Theorem · category theory
CategoryTheory.StrictlyUnitaryLaxFunctor.mapId_eq_eqToHom
∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
(self : CategoryTheory.StrictlyUnitaryLaxFunctor B C) (X : B), self.mapId X = CategoryTheory.eqToHom ⋯- Cited by
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- Foundations
- Depth 6 from the axioms · uses no axioms
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- Prefunctor.objstatement · cited by 1,241
- CategoryTheory.PrelaxFunctor.toPrelaxFunctorStructstatement · cited by 1,154
- CategoryTheory.PrelaxFunctorStruct.toPrefunctorstatement · cited by 1,142
- Prefunctor.mapstatement · cited by 952
- CategoryTheory.eqToHomstatement · cited by 860
- CategoryTheory.LaxFunctor.toPrelaxFunctorstatement · cited by 216
- CategoryTheory.LaxFunctor.mapIdstatement · cited by 61
- CategoryTheory.StrictlyUnitaryLaxFunctor.toLaxFunctorstatement · cited by 29
- CategoryTheory.StrictlyUnitaryLaxFunctorstatement and proof · cited by 17
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