Theorems · Definition · real analysis
ENNReal.HolderConjugate
ENNReal → ENNReal → Prop
An abbreviation for ENNReal.HolderTriple p q 1, this class states p⁻¹ + q⁻¹ = 1.
- Defined in
- Mathlib.Data.ENNReal.Holder
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- ENNReal.HolderTripleproof · cited by 65
Cited by41
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.lpPairingstatement and proof · cited by 3
- ENNReal.HolderConjugate.one_lestatement and proof · cited by 3
- ENNReal.HolderConjugate.posstatement and proof · cited by 3
- lp.dualPairingstatement and proof · cited by 2
- ENNReal.HolderConjugate.lt_top_iff_one_ltstatement and proof · cited by 2
- ENNReal.HolderConjugate.ne_zerostatement and proof · cited by 2
- ENNReal.HolderConjugate.of_toRealstatement · cited by 2
- ENNReal.HolderConjugate.one_sub_invstatement and proof · cited by 2
- ENNReal.HolderConjugate.toReal_iffstatement and proof · cited by 2
- ENNReal.HolderConjugate.uniquestatement and proof · cited by 2
- ContinuousLinearMap.lpPairing_eq_integralstatement and proof · cited by 1
- ENNReal.HolderConjugate.conjExponentstatement · cited by 1