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Theorems · Theorem · group theory

Subgroup.IsSubnormal.inf

∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G}, H.IsSubnormal → K.IsSubnormal → (H ⊓ K).IsSubnormal

The intersection of two subnormal subgroups is subnormal.

Defined in
Mathlib.GroupTheory.IsSubnormal
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Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Group · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.IsSubnormal · cited by 19Subgroup.IsSubnormalSubgroup.subgroupOf_map_subtype · cited by 10Subgroup.subgroupOf_map_s…Subgroup.IsSubnormal.trans' · cited by 2IsSubnormal.trans'Subgroup.IsSubnormal.subgroupOf · cited by 1IsSubnormal.subgroupOfIsSubnormal.infCITED BYCITES

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