Theorems · Theorem · group theory
Subgroup.map_top_of_surjective
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (f : G →* N),
Function.Surjective ⇑f → Subgroup.map f ⊤ = ⊤- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.topstatement and proof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- Subgroup.mapstatement · cited by 301
- eq_top_iffproof · cited by 236
Cited by7
Results whose statement or proof uses this declaration.
- Group.rank_le_of_surjectiveproof · cited by 3
- Group.normalizerCondition_of_isNilpotentproof · cited by 2
- Subgroup.IsSubnormal.mapproof · cited by 2
- Subgroup.map_equiv_topproof · cited by 1
- derivedSeries_le_map_derivedSeriesproof · cited by 1
- Subgroup.codisjoint_mapproof · cited by 0
- PSL.iSup_iwasawaT_eq_topproof · cited by 0