Theorems · Theorem · category theory
CategoryTheory.StrictPseudofunctor.toFunctor_obj
∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
[inst_2 : CategoryTheory.Bicategory.Strict B] [inst_3 : CategoryTheory.Bicategory.Strict C]
(F : CategoryTheory.StrictPseudofunctor B C) (a : B), F.toFunctor.obj a = F.obj a- Cited by
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- Foundations
- Depth 12 from the axioms · uses no axioms
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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 · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- 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
- CategoryTheory.Pseudofunctor.toPrelaxFunctorstatement · cited by 640
- CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctorstatement · cited by 103
- CategoryTheory.Bicategory.Strictstatement and proof · cited by 87
- CategoryTheory.StrictPseudofunctor.toStrictlyUnitaryPseudofunctorstatement · cited by 60
- CategoryTheory.StrictPseudofunctorstatement and proof · cited by 18
- CategoryTheory.StrictPseudofunctor.toFunctorstatement and proof · cited by 2
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