Theorems · Theorem · category theory
Action.FintypeCat.toEndHom_trivial_of_mem
∀ {G : Type u_1} [inst : Group G] {N : Subgroup G} [inst_1 : Fintype (G ⧸ N)] [inst_2 : N.Normal] {n : G},
n ∈ N →
(Action.FintypeCat.toEndHom N) n =
CategoryTheory.CategoryStruct.id (Action.FintypeCat.ofMulAction G (FintypeCat.of (G ⧸ N)))- Defined in
- Mathlib.CategoryTheory.Action.Concrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupFintypeSubgroup.Normal
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Cites24
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
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Finitestatement · cited by 3,029
- HasQuotient.Quotientstatement and proof · cited by 2,301
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- inv_invproof · cited by 494
- Subgroup.Normalstatement and proof · cited by 334
- mul_inv_revproof · cited by 270
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