Theorems · Theorem · category theory
Action.FintypeCat.quotientToEndHom_mk
∀ {G : Type u_1} [inst : Group G] (H N : Subgroup G) [inst_1 : Fintype (G ⧸ N)] [inst_2 : N.Normal] (x : ↥H) (g : G),
(CategoryTheory.ConcreteCategory.hom ((Action.FintypeCat.quotientToEndHom H N) ⟦x⟧).hom) ⟦g⟧ = ⟦g * ↑x⁻¹⟧- Defined in
- Mathlib.CategoryTheory.Action.Concrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupFintypeSubgroup.Normal
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Cites22
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- DFunLike.coestatement · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- 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.objstatement · cited by 1,316
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.ObjectProperty.FullSubcategorystatement · cited by 726
- Subgroup.Normalstatement and proof · cited by 334
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