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Theorems · Theorem · real analysis

Function.Antiperiodic.nat_mul_eq_of_eq_zero

∀ {α : Type u_1} {β : Type u_2} {f : α → β} {c : α} [inst : NonAssocSemiring α] [inst_1 : NegZeroClass β],
  Function.Antiperiodic f c → f 0 = 0 → ∀ (n : ℕ), f (↑n * c) = 0
Defined in
Mathlib.Algebra.Ring.Periodic
Cited by
3 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
NonAssocSemiringNegZeroClass
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Around this declaration

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Function.Antiperiodic.int_mul_eq_of_eq_zero · cited by 2Antiperiodic.int_mul_eq_o…Real.sin_nat_mul_pi · cited by 0Real.sin_nat_mul_piComplex.sin_nat_mul_pi · cited by 0Complex.sin_nat_mul_piNonAssocSemiring · cited by 805NonAssocSemiringFunction.Antiperiodic · cited by 66Function.AntiperiodicNegZeroClass · cited by 23NegZeroClassAntiperiodic.nat_mul_eq_of_eq…CITED BYCITES

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Cited by3

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