Theorems · Theorem · dynamical systems
MulAction.pow_smul_mod_minimalPeriod
∀ {α : Type v} {G : Type u} [inst : Group G] [inst_1 : MulAction G α] (a : G) (b : α) (n : ℕ),
a ^ (n % Function.minimalPeriod (fun x => a • x) b) • b = a ^ n • b- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 0 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.
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- Function.minimalPeriodstatement · cited by 100
- MulAction.period_eq_minimalPeriodproof · cited by 6
- MulAction.pow_mod_period_smulproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.