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Theorems · Theorem · group theory

AddAction.period_le_exponent

∀ {α : Type v} {M : Type u} [inst : AddMonoid M] [inst_1 : AddAction M α],
  0 < AddMonoid.exponent M → ∀ (m : M) (a : α), AddAction.period m a ≤ AddMonoid.exponent M
Defined in
Mathlib.GroupTheory.GroupAction.Period
Cited by
1 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidAddAction
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Around this declaration

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

AddAction.period_bounded_of_exponent_pos · cited by 0AddAction.period_bounded_…AddMonoid · cited by 2864AddMonoidAddAction · cited by 820AddActionAddMonoid.exponent · cited by 70AddMonoid.exponentAddAction.period · cited by 26AddAction.periodAddAction.period_dvd_exponent · cited by 2AddAction.period_dvd_expo…AddAction.period_le_exponentCITED BYCITES

Cites5

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Cited by1

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