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Theorems · Theorem · group theory

Subgroup.isFiniteRelIndex_of_le_left

∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} (L : Subgroup G) [H.IsFiniteRelIndex L],
  H ≤ K → K.IsFiniteRelIndex L
Defined in
Mathlib.GroupTheory.Index
Cited by
1 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupSubgroup.IsFiniteRelIndex
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Subgroup.isFiniteRelIndex_of_le · cited by 0Subgroup.isFiniteRelIndex…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.IsFiniteRelIndex · cited by 26Subgroup.IsFiniteRelIndexSubgroup.finiteIndex_of_le · cited by 3Subgroup.finiteIndex_of_leSubgroup.isFiniteRelIndex_iff_finiteIndex · cited by 2Subgroup.isFiniteRelIndex…Subgroup.subgroupOf_mono · cited by 1Subgroup.subgroupOf_monoSubgroup.isFiniteRelIndex_of_…CITED BYCITES

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Cited by1

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