Theorems · Definition · category theory
FintypeCat.Skeleton
Type u
The "standard" skeleton for FintypeCat. This is the full subcategory of FintypeCat
spanned by objects of the form ULift (Fin n) for n : ℕ. We parameterize the objects
of FintypeCat.Skeleton directly as ULift ℕ, as the type ULift (Fin m) ≃ ULift (Fin n)
is nonempty if and only if n = m. Specifying universes, Skeleton : Type u is a small
skeletal category equivalent to FintypeCat.{u}.
- Defined in
- Mathlib.CategoryTheory.FintypeCat
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by18
Results whose statement or proof uses this declaration.
- FintypeCat.Skeleton.lenstatement · cited by 3
- FintypeCat.Skeleton.extstatement and proof · cited by 2
- FintypeCat.Skeleton.inclstatement and proof · cited by 2
- LightDiagram'.mk.injstatement and proof · cited by 1
- LightDiagram'.mk.noConfusionstatement and proof · cited by 1
- FintypeCat.Skeleton.is_skeletalstatement and proof · cited by 1
- FintypeCat.Skeleton.mkstatement · cited by 1
- LightDiagram'.casesOnstatement and proof · cited by 0
- LightDiagram'.mk.injEqstatement and proof · cited by 0
- FintypeCat.Skeleton.equivalencestatement · cited by 0
- FintypeCat.Skeleton.ext_iffstatement and proof · cited by 0
- FintypeCat.Skeleton.incl_mk_nat_cardstatement · cited by 0