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Theorems · Theorem · group theory

addOrderOf_map_dvd

∀ {G : Type u_1} [inst : AddMonoid G] {H : Type u_6} [inst_1 : AddMonoid H] (ψ : G →+ H) (x : G),
  addOrderOf (ψ x) ∣ addOrderOf x
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidAddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddMonoidHom.independent_range_of_coprime_order · cited by 1AddMonoidHom.independent_…DFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidmap_zero · cited by 1614map_zeroaddOrderOf · cited by 208addOrderOfmap_nsmul · cited by 41map_nsmuladdOrderOf_nsmul_eq_zero · cited by 11addOrderOf_nsmul_eq_zeroaddOrderOf_dvd_of_nsmul_eq_zero · cited by 6addOrderOf_dvd_of_nsmul_e…addOrderOf_map_dvdCITED BYCITES

Cites8

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Cited by1

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