Theorems · Theorem · dynamical systems
AddAction.nsmul_period_vadd
∀ {α : Type v} {M : Type u} [inst : AddMonoid M] [inst_1 : AddAction M α] (m : M) (a : α),
AddAction.period m a • m +ᵥ a = a(period m a) • m fixes a.
- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- Function.minimalPeriodproof · cited by 100
- AddAction.periodstatement · cited by 26
- AddAction.period_eq_minimalPeriodproof · cited by 6
- Function.iterate_minimalPeriodproof · cited by 3
- vadd_iterate_applyproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.period_eq_zero_iffproof · cited by 1
- AddAction.le_periodproof · cited by 0