Theorems · Theorem · real analysis
Function.Antiperiodic.eq
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {c : α} [inst : AddZeroClass α] [inst_1 : Neg β],
Function.Antiperiodic f c → f c = -f 0- Defined in
- Mathlib.Algebra.Ring.Periodic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddZeroClassNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- Function.Antiperiodicstatement and proof · cited by 66
Cited by3
Results whose statement or proof uses this declaration.
- Complex.exp_pi_mul_Iproof · cited by 7
- Function.Periodic.sub_antiperiod_eqproof · cited by 4
- Function.Periodic.add_antiperiod_eqproof · cited by 4