Theorems · Theorem · group theory
Subgroup.normalCore_eq_iSup
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), H.normalCore = ⨆ N, ⨆ (_ : N.Normal), ⨆ (_ : N ≤ H), N- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites11
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
- iSupstatement · cited by 2,415
- le_antisymmproof · cited by 2,068
- le_rflproof · cited by 1,558
- Subgroup.Normalstatement and proof · cited by 334
- iSup_leproof · cited by 190
- le_iSup_of_leproof · cited by 79
- Subgroup.normalCorestatement and proof · cited by 16
- Subgroup.normalCore_leproof · cited by 10
- Subgroup.normal_le_normalCoreproof · cited by 5
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