Theorems · Theorem · group theory
AddAction.minimalPeriod_eq_one_iff_fixedBy
∀ {α : Type u_1} {G : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {a : α} {g : G},
Function.minimalPeriod (fun x => g +ᵥ x) a = 1 ↔ a ∈ AddAction.fixedBy α g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Function.minimalPeriodstatement · cited by 100
- AddAction.fixedBystatement · cited by 26
- Function.minimalPeriod_eq_one_iff_isFixedPtproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.mem_fixedBy_zsmulproof · cited by 2