Theorems · Theorem · group theory
AddSubgroup.relIndex_pointwise_smul
∀ {G : Type u_1} {H : Type u_2} [inst : Group H] (h : H) [inst_1 : AddGroup G] [inst_2 : DistribMulAction H G]
(J K : AddSubgroup G), (h • J).relIndex (h • K) = J.relIndex K- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- DistribMulActionstatement and proof · cited by 584
- AddSubgroup.comapproof · cited by 123
- AddSubgroup.relIndexstatement and proof · cited by 67
- AddSubgroup.pointwiseMulActionstatement · cited by 24
- DistribMulAction.toAddMonoidEndproof · cited by 9
- AddSubgroup.relIndex_comapproof · cited by 7
- AddSubgroup.comap_map_eq_self_of_injectiveproof · cited by 5
- DistribSMul.toAddMonoidHom_applyproof · cited by 3
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