Theorems · Theorem · group theory
Subgroup.normalizer_inf_normalizer_le_normalizer_sup
∀ {G : Type u_2} [inst : Group G] (H K : Subgroup G),
Subgroup.normalizer ↑H ⊓ Subgroup.normalizer ↑K ≤ Subgroup.normalizer ↑(H ⊔ K)- Defined in
- Mathlib.Algebra.Group.Subgroup.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Subgroup.mapproof · cited by 301
- MonoidHomClass.toMonoidHomproof · cited by 294
- Subgroup.normalizerstatement and proof · cited by 108
- MulAut.conjproof · cited by 64
- Subgroup.map_supproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.normalizer_le_normalizer_sup_of_normalizer_le_leftproof · cited by 2
- Subgroup.conj_mem_sup_of_mem_inf_normalizer_of_mem_infproof · cited by 0