Theorems · Theorem · real analysis
Real.HolderConjugate.symm
∀ {p q : ℝ}, p.HolderConjugate q → q.HolderConjugate p- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 98 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.HolderConjugatestatement and proof · cited by 78
- Real.HolderTriple.symmproof · cited by 7
Cited by31
Results whose statement or proof uses this declaration.
- Real.HolderConjugate.conjugate_eqproof · cited by 6
- ENNReal.lintegral_mul_le_Lp_mul_Lqproof · cited by 6
- NNReal.inner_le_Lp_mul_Lqproof · cited by 5
- compl_beattySeqproof · cited by 2
- Real.young_inequality_of_nonnegproof · cited by 2
- Real.HolderConjugate.div_conj_eq_sub_oneproof · cited by 2
- Real.HolderConjugate.one_sub_invproof · cited by 2
- lp.tsum_mul_le_mul_normproof · cited by 2
- NNReal.inner_le_weight_mul_Lpproof · cited by 2
- NNReal.isGreatest_Lpproof · cited by 1
- beattySeq'_symmDiff_beattySeq_posproof · cited by 1
- beattySeq_symmDiff_beattySeq'_posproof · cited by 1