Theorems · Theorem · group theory
AddSubgroup.le_normalizer_of_normal_addSubgroupOf
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} [hK : (H.addSubgroupOf K).Normal],
H ≤ K → K ≤ AddSubgroup.normalizer ↑H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddSubgroup.Normal
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.addSubgroupOfstatement and proof · cited by 87
- AddSubgroup.normalizerstatement · cited by 59
- AddSubgroup.normal_addSubgroupOf_iff_le_normalizerproof · cited by 8
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