Theorems · Theorem · dynamical systems
AddAction.zsmul_mod_period_vadd
∀ {α : Type v} {G : Type u} [inst : AddGroup G] [inst_1 : AddAction G α] (j : ℤ) {g : G} {a : α},
(j % ↑(AddAction.period g a)) • g +ᵥ a = j • g +ᵥ a- Defined in
- Mathlib.Dynamics.PeriodicPts.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 51 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.
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- dvd_mul_rightproof · cited by 89
- AddSemigroupAction.add_vaddproof · cited by 43
- AddAction.periodstatement and proof · cited by 26
- add_zsmulproof · cited by 21
- AddAction.zsmul_vadd_eq_iff_period_dvdproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddAction.zsmul_vadd_mod_minimalPeriodproof · cited by 1
- AddAction.zsmul_add_period_vaddproof · cited by 0
- AddAction.zsmul_period_add_vaddproof · cited by 0