Theorems · Theorem · group theory
MulAction.period_pos_of_orderOf_pos
∀ {α : Type v} {M : Type u} [inst : Monoid M] [inst_1 : MulAction M α] {m : M},
0 < orderOf m → ∀ (a : α), 0 < MulAction.period m a- Defined in
- Mathlib.GroupTheory.GroupAction.Period
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- orderOfstatement and proof · cited by 324
- MulAction.periodstatement · cited by 26
- MulAction.period_dvd_orderOfproof · cited by 2
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