Theorems · Theorem · group theory
AddSubgroup.normalCore_le
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G), H.normalCore ≤ H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- neg_zeroproof · cited by 542
- AddSubgroup.normalCorestatement and proof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- AddSubgroup.normal_le_normalCoreproof · cited by 4
- AddSubgroup.normalCore_eq_selfproof · cited by 1
- AddGroup.residuallyFinite_iff_forall_finiteIndexproof · cited by 1
- AddSubgroup.normalCore_eq_iInf_map_addConjproof · cited by 1
- AddSubgroup.normalCore_eq_iSupproof · cited by 0
- AddSubgroup.normalCore_monoproof · cited by 0