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Theorems · Theorem · group theory

Subgroup.relIndex_eq_zero_of_le_left

∀ {G : Type u_1} [inst : Group G] {H K L : Subgroup G}, H ≤ K → K.relIndex L = 0 → H.relIndex L = 0
Defined in
Mathlib.GroupTheory.Index
Cited by
3 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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Subgroup.relIndex_ne_zero_trans · cited by 2Subgroup.relIndex_ne_zero…Subgroup.relIndex_iInf_le · cited by 0Subgroup.relIndex_iInf_leSubgroup.relIndex_inf_le · cited by 0Subgroup.relIndex_inf_leGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.relIndex · cited by 72Subgroup.relIndexeq_zero_of_zero_dvd · cited by 13eq_zero_of_zero_dvdSubgroup.relIndex_dvd_of_le_left · cited by 3Subgroup.relIndex_dvd_of_…Subgroup.relIndex_eq_zero_of_…CITED BYCITES

Cites5

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Cited by3

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