Theorems · Theorem · real analysis
StrictConcaveOn.strictAntiOn_derivWithin
∀ {S : Set ℝ} {f : ℝ → ℝ}, StrictConcaveOn ℝ S f → DifferentiableOn ℝ f S → StrictAntiOn (derivWithin f S) S- Defined in
- Mathlib.Analysis.Convex.Deriv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- DifferentiableOnstatement and proof · cited by 419
- LT.lt.transproof · cited by 370
- derivWithinstatement · cited by 258
- StrictAntiOnstatement · cited by 120
- StrictConcaveOnstatement and proof · cited by 85
- StrictConcaveOn.slope_lt_derivWithinproof · cited by 1
- StrictConcaveOn.derivWithin_lt_slopeproof · cited by 1
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