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Theorems · Theorem · group theory

AddSubgroup.relIndex_addSubgroupOf

∀ {G : Type u_1} [inst : AddGroup G] {H K L : AddSubgroup G},
  K ≤ L → (H.addSubgroupOf L).relIndex (K.addSubgroupOf L) = H.relIndex K
Defined in
Mathlib.GroupTheory.Index
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroup
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Around this declaration

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AddSubgroup.relIndex_mul_relIndex · cited by 2AddSubgroup.relIndex_mul_…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.addSubgroupOf · cited by 87AddSubgroup.addSubgroupOfAddSubgroup.relIndex · cited by 67AddSubgroup.relIndexAddSubgroup.inclusion · cited by 15AddSubgroup.inclusionAddSubgroup.index_comap · cited by 4AddSubgroup.index_comapAddSubgroup.inclusion_range · cited by 1AddSubgroup.inclusion_ran…AddSubgroup.relIndex_addSubgr…CITED BYCITES

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Cited by1

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