Theorems · Theorem · group theory
Subgroup.Normal.subgroupOf
∀ {G : Type u_1} [inst : Group G] {H : Subgroup G}, H.Normal → ∀ (K : Subgroup G), (H.subgroupOf K).Normal- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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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
- Subgroup.Normalstatement and proof · cited by 334
- Subgroup.subtypeproof · cited by 185
- Subgroup.subgroupOfstatement · cited by 122
- Subgroup.Normal.comapproof · cited by 3
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