Theorems · Theorem · group theory
Subgroup.normal_le_normalCore
∀ {G : Type u_1} [inst : Group G] {H N : Subgroup G} [hN : N.Normal], N ≤ H.normalCore ↔ N ≤ H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- GroupSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ge_transproof · cited by 34
- Subgroup.Normal.conj_memproof · cited by 23
- Subgroup.normalCorestatement · cited by 16
- Subgroup.normalCore_leproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.normalCore_eq_iInf_map_conjproof · cited by 1
- Subgroup.normalCore_eq_kerproof · cited by 1
- Subgroup.normalCore_eq_selfproof · cited by 1
- Subgroup.normalCore_eq_iSupproof · cited by 0
- Subgroup.normalCore_monoproof · cited by 0