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Theorems · Theorem · real analysis

LocallyBoundedVariationOn.fun_mul

∀ {α : Type u_2} [inst : LinearOrder α] {f g : α → ℝ} {s : Set α},
  LocallyBoundedVariationOn f s → LocallyBoundedVariationOn g s → LocallyBoundedVariationOn (fun i => f i * g i) s

Eta-expanded form of LocallyBoundedVariationOn.mul

Defined in
Mathlib.Analysis.BoundedVariation
Cited by
0 results in Mathlib
Foundations
Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrder
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Set · cited by 53352SetReal · cited by 25697RealLinearOrder · cited by 8572LinearOrderLocallyBoundedVariationOn · cited by 41LocallyBoundedVariationOnLocallyBoundedVariationOn.mul · cited by 1LocallyBoundedVariationOn…LocallyBoundedVariationOn.fun…CITED BYCITES

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