Theorems · Definition · category theory
CategoryTheory.FinCategory.objAsTypeToAsType
(α : Type u_1) →
[inst : Fintype α] →
[inst_1 : CategoryTheory.SmallCategory α] →
[inst_2 : CategoryTheory.FinCategory α] →
CategoryTheory.Functor (CategoryTheory.FinCategory.ObjAsType α) (CategoryTheory.FinCategory.AsType α)The "identity" functor from ObjAsType α to AsType α.
- Cited by
- 2 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.
Cites12
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.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Equiv.symmstatement · cited by 3,681
- Fintype.cardstatement · cited by 1,386
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CategoryTheory.FinCategorystatement and proof · cited by 107
- Fintype.equivFinstatement and proof · cited by 51
- CategoryTheory.FinCategory.AsTypestatement · cited by 8
- CategoryTheory.FinCategory.ObjAsTypestatement and proof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.FinCategory.asTypeEquivObjAsTypeproof · cited by 0
- CategoryTheory.FinCategory.objAsTypeToAsType_mapstatement and proof · cited by 0
- CategoryTheory.FinCategory.objAsTypeToAsType_objstatement and proof · cited by 0