Theorems · Theorem · real analysis
NNReal.concaveOn_rpow
∀ {p : ℝ}, 0 ≤ p → p ≤ 1 → ConcaveOn NNReal Set.univ fun x => x ^ p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- Set.univstatement and proof · cited by 3,945
- ConcaveOnstatement and proof · cited by 159
- eq_or_lt_of_leproof · cited by 92
- convex_univproof · cited by 53
- NNReal.rpow_oneproof · cited by 38
- NNReal.rpow_zeroproof · cited by 20
- concaveOn_constproof · cited by 7
- StrictConcaveOn.concaveOnproof · cited by 5
- concaveOn_idproof · cited by 4
- NNReal.strictConcaveOn_rpowproof · cited by 3
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