Theorems · Theorem · group theory
Subgroup.normal_comap_iff_of_surjective
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {f : G →* N},
Function.Surjective ⇑f → ∀ {H : Subgroup N}, (Subgroup.comap f H).Normal ↔ H.Normal- 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Top.topproof · cited by 9,680
- SetLike.coeproof · 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
- Subgroup.Normalstatement and proof · cited by 334
- Subgroup.comapstatement and proof · cited by 154
- Subgroup.normalizerproof · cited by 108
- Subgroup.comap_topproof · cited by 10
- Subgroup.normalizer_eq_top_iffproof · cited by 10
- Subgroup.comap_injectiveproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MulEquiv.normal_map_iffproof · cited by 1