Theorems · Theorem · group theory
AddAction.period_neg
∀ {α : Type v} {G : Type u} [inst : AddGroup G] [inst_1 : AddAction G α] (g : G) (a : α),
AddAction.period (-g) a = AddAction.period g a- Defined in
- Mathlib.GroupTheory.GroupAction.Period
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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.hVAddproof · cited by 1,820
- neg_negproof · cited by 960
- AddActionstatement and proof · cited by 820
- natCast_zsmulproof · cited by 118
- AddAction.periodstatement · cited by 26
- vadd_eq_iff_eq_neg_vaddproof · cited by 6
- zsmul_negproof · cited by 6
- AddAction.isPeriodicPt_vadd_iffproof · cited by 4
- Function.minimalPeriod_eq_minimalPeriod_iffproof · cited by 2
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