Theorems · Theorem · group theory
AddSubgroup.normalCore_eq_iInf_comap_addConj
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G), H.normalCore = ⨅ g, AddSubgroup.comap (↑(AddAut.addConj g)) H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- iInfstatement and proof · cited by 1,690
- AddEquiv.symmproof · cited by 530
- map_negproof · cited by 378
- AddMonoidHomClass.toAddMonoidHomstatement and proof · cited by 232
- AddSubgroup.comapstatement and proof · cited by 123
- AddAutstatement · cited by 75
- Equiv.negproof · cited by 53
- Equiv.neg_applyproof · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.normalCore_isClosedproof · cited by 1