Theorems · Theorem · group theory
isAddCyclic_of_surjective
∀ {G : Type u_2} {G' : Type u_3} [inst : AddGroup G] [inst_1 : AddGroup G'] {F : Type u_4} [hH : IsAddCyclic G']
[inst_2 : FunLike F G' G] [AddMonoidHomClass F G' G] (f : F), Function.Surjective ⇑f → IsAddCyclic G- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
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
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- AddMonoidHomClassstatement and proof · cited by 252
- IsAddCyclicstatement and proof · cited by 55
- map_zsmulproof · cited by 18
- IsAddCyclic.casesOnproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- AddEquiv.isAddCyclicproof · cited by 4
- not_isAddCyclic_prod_of_infinite_nontrivialproof · cited by 2
- isAddCyclic_left_of_prodproof · cited by 2
- isAddCyclic_right_of_prodproof · cited by 2
- isAddCyclic_of_injectiveproof · cited by 1