Theorems · Theorem · category theory
Action.FintypeCat.quotientToQuotientOfLE_hom_mk
∀ {G : Type u_1} [inst : Group G] (H N : Subgroup G) [inst_1 : Fintype (G ⧸ N)] [inst_2 : Fintype (G ⧸ H)] (h : N ≤ H)
(x : G), (CategoryTheory.ConcreteCategory.hom (Action.FintypeCat.quotientToQuotientOfLE H N h).hom) ⟦x⟧ = ⟦x⟧- Defined in
- Mathlib.CategoryTheory.Action.Concrete
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- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- 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
- FintypeCatstatement · cited by 217
- Action.Vstatement · cited by 176
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