Theorems · Theorem · group theory
Subgroup.normalCore_eq_self
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) [H.Normal], H.normalCore = H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- GroupSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- le_antisymmproof · cited by 2,068
- le_rflproof · cited by 1,558
- Subgroup.Normalstatement and proof · cited by 334
- Subgroup.normalCorestatement · cited by 16
- Subgroup.normalCore_leproof · cited by 10
- Subgroup.normal_le_normalCoreproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.normalCore_idempotentproof · cited by 0