Theorems · Definition · category theory
FintypeCat.uSwitch
CategoryTheory.Functor FintypeCat FintypeCat
If u and v are two arbitrary universes, we may construct a functor
uSwitch.{u, v} : FintypeCat.{u} ⥤ FintypeCat.{v} by sending
X : FintypeCat.{u} to ULift.{v} (Fin (Fintype.card X)).
- Defined in
- Mathlib.CategoryTheory.FintypeCat
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Equiv.symmproof · cited by 3,681
- Finitestatement · cited by 3,029
- Fintype.cardproof · cited by 1,386
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- FintypeCatstatement and proof · cited by 217
- Fintype.equivFinproof · cited by 51
- FintypeCat.ofproof · cited by 26
Cited by5
Results whose statement or proof uses this declaration.
- FintypeCat.uSwitchEquivstatement · cited by 3
- FintypeCat.uSwitchEquiv_naturalitystatement and proof · cited by 1
- FintypeCat.uSwitchEquiv_symm_naturalitystatement · cited by 0
- FintypeCat.uSwitchEquivalenceproof · cited by 0
- FintypeCat.uSwitch_map_uSwitch_mapstatement · cited by 0