Theorems · Theorem · group theory
Subgroup.comap_normalizer_eq_of_le_range
∀ {G : Type u_1} [inst : Group G] {H : Subgroup G} {N : Type u_5} [inst_1 : Group N] {f : N →* G},
H ≤ f.range → Subgroup.comap f (Subgroup.normalizer ↑H) = Subgroup.normalizer ↑(Subgroup.comap f H)- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- LE.le.transproof · cited by 3,151
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- MonoidHom.rangestatement and proof · cited by 314
- Subgroup.comapstatement · cited by 154
- Subgroup.normalizerstatement and proof · cited by 108
- Subgroup.map_le_iff_le_comapproof · cited by 13
- Subgroup.le_normalizer_mapproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.comap_normalizer_eq_of_surjectiveproof · cited by 2
- Subgroup.subgroupOf_normalizer_eqproof · cited by 2