Theorems · Theorem · group theory
MulAction.period_le_exponent
∀ {α : Type v} {M : Type u} [inst : Monoid M] [inst_1 : MulAction M α],
0 < Monoid.exponent M → ∀ (m : M) (a : α), MulAction.period m a ≤ Monoid.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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Monoid.exponentstatement and proof · cited by 128
- MulAction.periodstatement · cited by 26
- MulAction.period_dvd_exponentproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.period_bounded_of_exponent_posproof · cited by 0