Theorems · Theorem · complex analysis

Function.Periodic.cuspFunction_sub

∀ {h : ℝ} {f g : ℂ → ℂ},
  ContinuousAt (Function.Periodic.cuspFunction h f) 0 →
    ContinuousAt (Function.Periodic.cuspFunction h g) 0 →
      Function.Periodic.cuspFunction h (f - g) = Function.Periodic.cuspFunction h f - Function.Periodic.cuspFunction h g

Defined in: Mathlib.Analysis.Complex.Periodic
Cited by: 1 results in Mathlib
Foundations: Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound

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

Realstatement and proof · cited by 25,697
Complexstatement and proof · cited by 5,565
sub_eq_add_negproof · cited by 1,023
ContinuousAtstatement and proof · cited by 697
Function.Periodic.cuspFunctionstatement and proof · cited by 18
Function.Periodic.cuspFunction_negproof · cited by 2
Function.Periodic.cuspFunction_addproof · cited by 2

Cited by1

Results whose statement or proof uses this declaration.

UpperHalfPlane.cuspFunction_subproof · cited by 1