Theorems · Theorem · real analysis
Real.HolderTriple.pos
∀ {p q r : ℝ}, p.HolderTriple q r → 0 < p- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Real.HolderTriplestatement and proof · cited by 53
- Real.HolderTriple.left_posproof · cited by 3
Cited by20
Results whose statement or proof uses this declaration.
- Real.HolderTriple.nonnegproof · cited by 12
- Real.HolderTriple.ne_zeroproof · cited by 9
- ENNReal.lintegral_mul_le_Lp_mul_Lqproof · cited by 6
- Real.HolderTriple.inv_posproof · cited by 5
- Real.HolderTriple.one_div_posproof · cited by 3
- ENNReal.HolderTriple.of_toRealproof · cited by 3
- compl_beattySeqproof · cited by 2
- lp.tsum_mul_le_mul_normproof · cited by 2
- Real.HolderTriple.ennrealOfRealproof · cited by 2
- Real.HolderConjugate.inv_add_inv_ennrealproof · cited by 1
- ENNReal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_ne_topproof · cited by 1
- ENNReal.lintegral_mul_le_one_of_lintegral_rpow_eq_oneproof · cited by 1