Theorems · Theorem · category theory
FintypeCat.homMk_apply
∀ {X Y : FintypeCat} (f : X.obj → Y.obj) (x : X.obj), (CategoryTheory.ConcreteCategory.hom (FintypeCat.homMk f)) x = f x- Defined in
- Mathlib.CategoryTheory.FintypeCat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- Finitestatement · cited by 3,029
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.ObjectProperty.FullSubcategorystatement · cited by 726
- FintypeCatstatement and proof · cited by 217
- FintypeCat.homMkstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- FintypeCat.uSwitchEquiv_naturalityproof · cited by 1