Theorems · Theorem · category theory
CategoryTheory.StrictlyUnitaryPseudofunctor.mapId_eq_eqToIso
∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
(self : CategoryTheory.StrictlyUnitaryPseudofunctor B C) (X : B), self.mapId X = CategoryTheory.eqToIso ⋯- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Isostatement · cited by 3,963
- 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.Pseudofunctor.toPrelaxFunctorstatement · cited by 640
- CategoryTheory.Pseudofunctor.mapIdstatement · cited by 175
- CategoryTheory.StrictlyUnitaryPseudofunctor.toPseudofunctorstatement · cited by 103
- CategoryTheory.eqToIsostatement · cited by 97
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.StrictPseudofunctor.mapAdjunction_counit'proof · cited by 0
- CategoryTheory.StrictPseudofunctor.mapAdjunction_unit'proof · cited by 0