Theorems · Theorem · group theory
AddMonoidHom.map_addCyclic
∀ {G : Type u_2} [inst : AddGroup G] [h : IsAddCyclic G] (σ : G →+ G), ∃ m, ∀ (g : G), σ g = m • g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext
- Assumes
- AddGroupIsAddCyclic
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Cites9
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
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.zmultiplesproof · cited by 493
- IsAddCyclicstatement and proof · cited by 55
- map_zsmulproof · cited by 18
- mul_zsmul'proof · cited by 16
- IsAddCyclic.exists_generatorproof · cited by 8
- mul_zsmulproof · cited by 5
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