Theorems · Theorem · dynamical systems
AddAction.zsmul_add_period_vadd
∀ {α : Type v} {G : Type u} [inst : AddGroup G] [inst_1 : AddAction G α] (i : ℤ) (g : G) (a : α),
(i + ↑(AddAction.period g a)) • g +ᵥ a = i • g +ᵥ a- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 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.
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.periodstatement and proof · cited by 26
- AddAction.zsmul_mod_period_vaddproof · cited by 3
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