Theorems · Theorem · real analysis
Real.HolderConjugate.inv_add_inv_ennreal
∀ {p q : ℝ}, p.HolderConjugate q → (ENNReal.ofReal p)⁻¹ + (ENNReal.ofReal q)⁻¹ = 1- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- ENNRealstatement and proof · cited by 9,879
- ENNReal.ofRealstatement and proof · cited by 863
- Real.HolderConjugatestatement and proof · cited by 78
- ENNReal.ofReal_oneproof · cited by 61
- Real.HolderConjugate.symmproof · cited by 31
- ENNReal.ofReal_addproof · cited by 26
- Real.HolderTriple.posproof · cited by 20
- ENNReal.ofReal_inv_of_posproof · cited by 11
- Real.HolderConjugate.inv_add_inv_eq_oneproof · cited by 6
- Real.HolderTriple.inv_nonnegproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.lintegral_mul_le_one_of_lintegral_rpow_eq_oneproof · cited by 1