Theorems · Theorem · real analysis
MonotoneOn.boundedVariationOn
∀ {α : Type u_1} [inst : LinearOrder α] {f : α → ℝ} {s : Set α} {C : ℝ},
MonotoneOn f s → (∀ x ∈ s, |f x| ≤ C) → BoundedVariationOn f s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
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Cites17
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
- ENNRealproof · cited by 9,879
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- absstatement and proof · cited by 1,814
- ENNReal.ofRealproof · cited by 863
- LE.le.trans_ltproof · cited by 795
- MonotoneOnstatement and proof · cited by 311
- ne_of_ltproof · cited by 203
- eVariationOnproof · cited by 90
- BoundedVariationOnstatement · cited by 65
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