Theorems · Theorem · group theory
Subgroup.normalCore_eq_iInf_map_conj
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), H.normalCore = ⨅ g, Subgroup.map (↑(MulAut.conj 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
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
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
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- iInfstatement and proof · cited by 1,690
- map_mulproof · cited by 1,137
- map_oneproof · cited by 861
- le_imp_le_of_le_of_leproof · cited by 576
- MonoidHom.compproof · cited by 469
- Subgroup.Normalproof · cited by 334
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.normalCore_eq_iInf_comap_conjproof · cited by 1