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 REta-expanded form of CircleIntegrable.const_smul
If f is circle integrable, then so are its scalar multiples.
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- Foundations
- Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedRing
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Cites5
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- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- NormedRingstatement · cited by 924
- CircleIntegrablestatement · cited by 86
- CircleIntegrable.const_smulproof · cited by 2
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