Theorems · Theorem · real analysis
Real.HolderTriple.nonneg
∀ {p q r : ℝ}, p.HolderTriple q r → 0 ≤ p- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Real.HolderTriplestatement and proof · cited by 53
- Real.HolderTriple.posproof · cited by 20
Cited by12
Results whose statement or proof uses this declaration.
- ENNReal.lintegral_mul_le_Lp_mul_Lqproof · cited by 6
- Real.HolderTriple.ennrealOfRealproof · cited by 2
- MeasureTheory.integral_mul_norm_le_Lp_mul_Lqproof · cited by 1
- beattySeq_symmDiff_beattySeq'_posproof · cited by 1
- NNReal.young_inequality_realproof · cited by 1
- MeasureTheory.lintegral_pow_le_pow_lintegral_fderivproof · cited by 1
- ENNReal.young_inequalityproof · cited by 1
- NNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 1
- Real.HolderTriple.toNNRealproof · cited by 1
- NNReal.young_inequality_real_eq_iffproof · cited by 1
- ENNReal.young_inequality_eq_iffproof · cited by 0
- ENNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 0