Theorems · Theorem · group theory
MonoidHom.map_cyclic
∀ {G : Type u_2} [inst : Group G] [h : IsCyclic G] (σ : G →* G), ∃ m, ∀ (g : G), σ g = g ^ m- Cited by
- 3 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroup.zpowersproof · cited by 204
- IsCyclicstatement and proof · cited by 122
- zpow_mulproof · cited by 27
- map_zpowproof · cited by 16
- IsCyclic.exists_generatorproof · cited by 14
- zpow_mul'proof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- map_rootsOfUnity_eq_pow_selfproof · cited by 3
- rootsOfUnity.integer_power_of_ringEquivproof · cited by 2
- MulDistribMulAction.toMonoidHomZModOfIsCyclic_applyproof · cited by 1