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Theorems · Theorem · complex analysis

CircleIntegrable.const_fun_smul

∀ {c : ℂ} {R : ℝ} {A : Type u_2} [inst : NormedRing A] {a : A} {f : ℂ → A},
  CircleIntegrable f c R → CircleIntegrable (fun i => a • f i) c R

Eta-expanded form of CircleIntegrable.const_smul If f is circle integrable, then so are its scalar multiples.

Defined in
Mathlib.MeasureTheory.Integral.CircleIntegral
Cited by
0 results in Mathlib
Foundations
Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedRing

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