Theorems · Theorem · group theory
AddSubgroup.Normal.isSubnormal
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G}, H.Normal → H.IsSubnormalA normal additive subgroup is subnormal.
- Defined in
- Mathlib.GroupTheory.IsSubnormal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- le_topproof · cited by 411
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.IsSubnormalstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.IsSubnormal.botproof · cited by 1