Theorems · Theorem · group theory
Subgroup.Normal.op
∀ {G : Type u_2} [inst : Group G] {H : Subgroup G}, H.Normal → H.op.NormalAlias of the reverse direction of Subgroup.normal_op.
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- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- MulOppositestatement · cited by 1,135
- Subgroup.Normalstatement · cited by 334
- Subgroup.opstatement · cited by 58
- Subgroup.normal_opproof · cited by 3
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