Theorems · Theorem · real analysis
Function.Antiperiodic.int_even_mul_periodic
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {c : α} [inst : NonAssocRing α] [inst_1 : InvolutiveNeg β],
Function.Antiperiodic f c → ∀ (n : ℤ), Function.Periodic f (↑n * (2 * c))- Defined in
- Mathlib.Algebra.Ring.Periodic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRingInvolutiveNeg
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.
- NonAssocRingstatement and proof · cited by 483
- Function.Periodicstatement · cited by 154
- InvolutiveNegstatement and proof · cited by 151
- Function.Antiperiodicstatement and proof · cited by 66
- Function.Periodic.int_mulproof · cited by 18
- Function.Antiperiodic.periodic_two_mulproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Function.Antiperiodic.int_odd_mul_antiperiodicproof · cited by 0