Theorems · Theorem · group theory
AddSubgroup.IsSubnormal.inf
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G}, H.IsSubnormal → K.IsSubnormal → (H ⊓ K).IsSubnormalThe intersection of two subnormal additive subgroups is additive subnormal.
- Defined in
- Mathlib.GroupTheory.IsSubnormal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.IsSubnormalstatement and proof · cited by 17
- AddSubgroup.addSubgroupOf_map_subtypeproof · cited by 5
- AddSubgroup.IsSubnormal.trans'proof · cited by 2
- AddSubgroup.IsSubnormal.addSubgroupOfproof · cited by 1
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