Theorems · Theorem · group theory
AddSubgroup.normalCore_eq_iSup
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup 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
- AddGroup
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- iSupstatement · cited by 2,415
- le_antisymmproof · cited by 2,068
- le_rflproof · cited by 1,558
- iSup_leproof · cited by 190
- AddSubgroup.Normalstatement and proof · cited by 183
- le_iSup_of_leproof · cited by 79
- AddSubgroup.normalCorestatement and proof · cited by 11
- AddSubgroup.normalCore_leproof · cited by 7
- AddSubgroup.normal_le_normalCoreproof · cited by 4
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