Theorems · Theorem · category theory
CategoryTheory.FinCategory.asTypeToObjAsType_map
∀ (α : Type u_1) [inst : Fintype α] [inst_1 : CategoryTheory.SmallCategory α] [inst_2 : CategoryTheory.FinCategory α]
{x x_1 : CategoryTheory.FinCategory.AsType α} (a : Fin (Fintype.card (x ⟶ x_1))),
(CategoryTheory.FinCategory.asTypeToObjAsType α).map a = (Fintype.equivFin (x ⟶ x_1)).symm a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Equiv.symmstatement · cited by 3,681
- Fintype.cardstatement and proof · cited by 1,386
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CategoryTheory.FinCategorystatement and proof · cited by 107
- Fintype.equivFinstatement · cited by 51
- CategoryTheory.FinCategory.AsTypestatement and proof · cited by 8
- CategoryTheory.FinCategory.ObjAsTypestatement · cited by 6
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