Theorems · Theorem · group theory
Subgroup.relIndex_pointwise_smul
∀ {G : Type u_1} {H : Type u_2} [inst : Group H] (h : H) [inst_1 : Group G] [inst_2 : MulDistribMulAction H G]
(J K : Subgroup G), (h • J).relIndex (h • K) = J.relIndex K- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Subgroupstatement and proof · cited by 3,593
- Subgroup.comapproof · cited by 154
- MulDistribMulActionstatement and proof · cited by 120
- Subgroup.relIndexstatement and proof · cited by 72
- Subgroup.pointwiseMulActionstatement · cited by 66
- MulDistribMulAction.toMonoidEndproof · cited by 15
- Subgroup.relIndex_comapproof · cited by 7
- Subgroup.comap_map_eq_self_of_injectiveproof · cited by 7
- MulDistribMulAction.toMonoidHom_applyproof · cited by 3
- Subgroup.pointwise_smul_defproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- IsCusp.of_isFiniteRelIndex_conjproof · cited by 0
- CongruenceSubgroup.isArithmetic_conj_SL2Zproof · cited by 0