Theorems · Theorem · probability
ProbabilityTheory.rpow_abs_le_mul_max_exp
∀ (x : ℝ) {t p : ℝ}, 0 ≤ p → t ≠ 0 → |x| ^ p ≤ (p / |t|) ^ p * max (Real.exp (t * x)) (Real.exp (-t * x))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 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.
- Realstatement and proof · cited by 25,697
- LT.lt.leproof · cited by 2,189
- absstatement and proof · cited by 1,814
- neg_negproof · cited by 960
- Real.expstatement and proof · cited by 871
- abs_of_nonnegproof · cited by 279
- sup_commproof · cited by 165
- abs_of_nonposproof · cited by 53
- lt_or_gt_of_neproof · cited by 41
- ProbabilityTheory.rpow_abs_le_mul_max_exp_of_posproof · cited by 2
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