Theorems · Theorem · group theory
MulAction.period_bounded_of_exponent_pos
∀ (α : Type v) {M : Type u} [inst : Monoid M] [inst_1 : MulAction M α],
0 < Monoid.exponent M → ∀ (m : M), BddAbove (Set.range fun a => MulAction.period m a)- Defined in
- Mathlib.GroupTheory.GroupAction.Period
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- Set.rangestatement · cited by 4,705
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- BddAbovestatement · cited by 620
- Monoid.exponentstatement and proof · cited by 128
- MulAction.periodstatement · cited by 26
- MulAction.period_le_exponentproof · cited by 1
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