Theorems · Theorem · category theory
FintypeCat.uSwitchEquiv_naturality
∀ {X Y : FintypeCat} (f : X ⟶ Y) (x : (FintypeCat.uSwitch.obj X).obj),
(CategoryTheory.ConcreteCategory.hom f) (X.uSwitchEquiv x) =
Y.uSwitchEquiv ((CategoryTheory.ConcreteCategory.hom (FintypeCat.uSwitch.map f)) x)- Defined in
- Mathlib.CategoryTheory.FintypeCat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapstatement · cited by 8,698
- Equivstatement · cited by 8,337
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- Equiv.symmproof · cited by 3,681
- Finitestatement and proof · cited by 3,029
- Fintype.cardproof · cited by 1,386
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
Cited by1
Results whose statement or proof uses this declaration.
- FintypeCat.uSwitchEquiv_symm_naturalityproof · cited by 0