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Theorems · Theorem · group theory

AddSubgroup.index_antitone

∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G}, H ≤ K → ∀ [H.FiniteIndex], K.index ≤ H.index
Defined in
Mathlib.GroupTheory.Index
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddSubgroup.FiniteIndex
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AddSubgroup.index_strictAnti · cited by 0AddSubgroup.index_strictA…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.index · cited by 104AddSubgroup.indexAddSubgroup.FiniteIndex · cited by 66AddSubgroup.FiniteIndexAddSubgroup.FiniteIndex.index_ne_zero · cited by 10FiniteIndex.index_ne_zeroAddSubgroup.index_dvd_of_le · cited by 3AddSubgroup.index_dvd_of_…AddSubgroup.index_antitoneCITED BYCITES

Cites6

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Cited by1

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