Theorems · Theorem · group theory
AddSubgroup.maximal_normal_addSubgroupOf_normalizer
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G},
Maximal (fun x => (H.addSubgroupOf x).Normal) (AddSubgroup.normalizer ↑H)- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement and proof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- LE.le.transproof · cited by 3,151
- Maximalstatement · cited by 211
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.addSubgroupOfstatement and proof · cited by 87
- AddSubgroup.normalizerstatement and proof · cited by 59
- AddSubgroup.normal_addSubgroupOf_iff_le_normalizerproof · cited by 8
- AddSubgroup.le_normalizerproof · cited by 6
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