Theorems · Theorem · group theory
Subgroup.normalCore_eq_iInf_comap_conj
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), H.normalCore = ⨅ g, Subgroup.comap (↑(MulAut.conj g)) H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- iInfstatement and proof · cited by 1,690
- MulEquiv.symmproof · cited by 482
- MonoidHomClass.toMonoidHomstatement and proof · cited by 294
- MulAutstatement · cited by 158
- Subgroup.comapstatement and proof · cited by 154
- map_invproof · cited by 95
- MulAut.conjstatement and proof · cited by 64
- Equiv.invproof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.normalCore_isClosedproof · cited by 1