Theorems · Theorem · real analysis
Function.Antiperiodic.nat_even_mul_periodic
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {c : α} [inst : NonAssocSemiring α] [inst_1 : InvolutiveNeg β],
Function.Antiperiodic f c → ∀ (n : ℕ), Function.Periodic f (↑n * (2 * c))- Defined in
- Mathlib.Algebra.Ring.Periodic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonAssocSemiringstatement and proof · cited by 805
- Function.Periodicstatement · cited by 154
- InvolutiveNegstatement and proof · cited by 151
- Function.Antiperiodicstatement and proof · cited by 66
- Function.Periodic.nat_mulproof · cited by 15
- Function.Antiperiodic.periodic_two_mulproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Function.Antiperiodic.nat_odd_mul_antiperiodicproof · cited by 0