Theorems · Theorem · group theory
IsZGroup.of_injective
∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] {f : G →* G'} [hG' : IsZGroup G'],
Function.Injective ⇑f → IsZGroup G- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Nat.Primeproof · cited by 2,059
- MulEquiv.symmproof · cited by 482
- Subgroup.mapproof · cited by 301
- Subgroup.comapproof · cited by 154
- IsCyclicproof · cited by 122
- Sylowproof · cited by 103
- Sylow.toSubgroupproof · cited by 86
- MulEquiv.surjectiveproof · cited by 41
- isCyclic_of_surjectiveproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- isZGroup_iff_exists_mulEquivproof · cited by 0