Theorems · Theorem · real analysis
Function.Antiperiodic.nat_odd_mul_antiperiodic
∀ {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.Antiperiodic f (↑n * (2 * c) + c)- Defined in
- Mathlib.Algebra.Ring.Periodic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonAssocSemiringstatement and proof · cited by 805
- add_assocproof · cited by 746
- InvolutiveNegstatement and proof · cited by 151
- Function.Antiperiodicstatement and proof · cited by 66
- Function.Antiperiodic.nat_even_mul_periodicproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.