Theorems · Theorem · real analysis
BoxIntegral.integralSum_add
∀ {ι : Type u} {E : Type v} {F : Type w} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
[inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] {I : BoxIntegral.Box ι} (f g : (ι → ℝ) → E)
(vol : BoxIntegral.BoxAdditiveMap ι (E →L[ℝ] F) ⊤) (π : BoxIntegral.TaggedPrepartition I),
BoxIntegral.integralSum (f + g) vol π = BoxIntegral.integralSum f vol π + BoxIntegral.integralSum g vol π- Defined in
- Mathlib.Analysis.BoxIntegral.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
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