Theorems · Theorem · group theory
Sylow.mapSurjective_surjective
∀ {G : Type u_1} [inst : Group G] [inst_1 : Finite G] {G' : Type u_2} [inst_2 : Group G'] {f : G →* G'}
(hf : Function.Surjective ⇑f) (p : ℕ) [inst_3 : Fact (Nat.Prime p)], Function.Surjective (Sylow.mapSurjective hf)- Defined in
- Mathlib.GroupTheory.Sylow
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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 and proof · cited by 3,629
- Subgroupproof · cited by 3,593
- Finitestatement and proof · cited by 3,029
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Nonempty.someproof · cited by 340
- Fact.outproof · cited by 328
- Subgroup.mapproof · cited by 301
- Subgroup.subtypeproof · cited by 185
- Subgroup.comapproof · cited by 154
Cited by2
Results whose statement or proof uses this declaration.
- isZGroup_of_coprimeproof · cited by 1
- IsZGroup.of_surjectiveproof · cited by 0