Theorems · Theorem · real analysis
Real.HolderTriple.lt
∀ {p q r : ℝ}, p.HolderTriple q r → r < p- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- inv_invproof · cited by 494
- Real.HolderTriplestatement and proof · cited by 53
- inv_strictAnti₀proof · cited by 10
- Real.HolderTriple.inv_posproof · cited by 5
- Real.HolderTriple.inv_lt_invproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- Real.holderConjugate_iffproof · cited by 6
- Real.HolderConjugate.sub_one_posproof · cited by 2
- NNReal.HolderTriple.ltproof · cited by 2
- NNReal.HolderConjugate.conjugate_eqproof · cited by 2
- beattySeq_symmDiff_beattySeq'_posproof · cited by 1
- MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_auxproof · cited by 1
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1
- MeasureTheory.lintegral_prod_lintegral_pow_leproof · cited by 1