Monoid.exponent_dvd_of_monoidHom

∀ {G : Type u} [inst : Monoid G] {H : Type u_1} [inst_1 : Monoid H] (e : G →* H),
  Function.Injective ⇑e → Monoid.exponent G ∣ Monoid.exponent H

If there exists an injective, multiplication-preserving map from G to H, then the exponent of G divides the exponent of H.

Defined in: Mathlib.GroupTheory.Exponent
Cited by: 5 results in Mathlib
Foundations: Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Monoid Monoid

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