Theorems · Theorem · real analysis
convexOn_descPochhammer_eval
∀ (n : ℕ), ConvexOn ℝ (Set.Ici (↑n - 1)) fun x => Polynomial.eval x (descPochhammer ℝ n)
descPochhammer ℝ n is convex on [n-1, ∞).
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- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Icistatement and proof · cited by 1,070
- Polynomial.evalstatement and proof · cited by 796
- derivproof · cited by 676
- CharP.cast_eq_zeroproof · cited by 357
- zero_subproof · cited by 335
- Continuous.continuousOnproof · cited by 311
- MonotoneOnproof · cited by 311
- ConvexOnstatement and proof · cited by 232
- Polynomial.eval_oneproof · cited by 86
- descPochhammerstatement and proof · cited by 51
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