Theorems · Theorem · group theory
AddSubgroup.normalCore_eq_self
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup 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
- AddGroupAddSubgroup.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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- le_antisymmproof · cited by 2,068
- le_rflproof · cited by 1,558
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.normalCorestatement · cited by 11
- AddSubgroup.normalCore_leproof · cited by 7
- AddSubgroup.normal_le_normalCoreproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.normalCore_idempotentproof · cited by 0