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Theorems · Theorem · real analysis

Function.Antiperiodic.div

∀ {α : Type u_1} {β : Type u_2} {f g : α → β} {c : α} [inst : Add α] [inst_1 : DivisionMonoid β]
  [inst_2 : HasDistribNeg β], Function.Antiperiodic f c → Function.Antiperiodic g c → Function.Periodic (f / g) c
Defined in
Mathlib.Algebra.Ring.Periodic
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
AddDivisionMonoidHasDistribNeg
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Real.tan_periodic · cited by 14Real.tan_periodicComplex.tan_periodic · cited by 11Complex.tan_periodicDivisionMonoid · cited by 201DivisionMonoidFunction.Periodic · cited by 154Function.PeriodicHasDistribNeg · cited by 114HasDistribNegFunction.Antiperiodic · cited by 66Function.Antiperiodicneg_div_neg_eq · cited by 17neg_div_neg_eqAntiperiodic.divCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.