Theorems · Theorem · real analysis
LocallyBoundedVariationOn.mul
∀ {α : Type u_2} [inst : LinearOrder α] {f g : α → ℝ} {s : Set α},
LocallyBoundedVariationOn f s → LocallyBoundedVariationOn g s → LocallyBoundedVariationOn (f * g) s- Defined in
- Mathlib.Analysis.BoundedVariation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- LinearOrderstatement and proof · cited by 8,572
- ContinuousLinearMap.lsmulproof · cited by 66
- LocallyBoundedVariationOnstatement and proof · cited by 41
- LocallyBoundedVariationOn.bilinear_compproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LocallyBoundedVariationOn.fun_mulproof · cited by 0