Theorems · Theorem · group theory
IsAddCyclic.exists_zsmul_surjective
∀ {G : Type u} {inst : SMul ℤ G} [self : IsAddCyclic G], ∃ g, Function.Surjective fun x => x • g- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- IsAddCyclic
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsAddCyclicstatement and proof · cited by 55
Cited by3
Results whose statement or proof uses this declaration.
- isAddCyclic_additive_iffproof · cited by 3
- exists_zsmul_surjectiveproof · cited by 2
- isCyclic_multiplicative_iffproof · cited by 0