Theorems · Theorem · real analysis
Real.HolderTriple.ennrealOfReal
∀ {p q r : ℝ}, p.HolderTriple q r → (ENNReal.ofReal p).HolderTriple (ENNReal.ofReal q) (ENNReal.ofReal r)- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 132 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
- ENNReal.ofRealstatement and proof · cited by 863
- ENNReal.HolderTriplestatement · cited by 65
- Real.HolderTriplestatement and proof · cited by 53
- ENNReal.ofReal_addproof · cited by 26
- Real.HolderTriple.posproof · cited by 20
- Real.HolderTriple.pos'proof · cited by 13
- Real.HolderTriple.nonnegproof · cited by 12
- ENNReal.ofReal_inv_of_posproof · cited by 11
- Real.HolderTriple.inv_add_inv_eq_invproof · cited by 9
- Real.HolderTriple.symmproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.HolderTriple.of_toRealproof · cited by 3
- Real.HolderConjugate.ennrealOfRealproof · cited by 0