Theorems · Theorem · real analysis
Real.HolderTriple.symm
∀ {p q r : ℝ}, p.HolderTriple q r → q.HolderTriple p r- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 97 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
- add_commproof · cited by 1,535
- Real.HolderTriplestatement and proof · cited by 53
- Real.HolderTriple.inv_add_inv_eq_invproof · cited by 9
- Real.HolderTriple.left_posproof · cited by 3
- Real.HolderTriple.right_posproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- Real.HolderConjugate.symmproof · cited by 31
- Real.HolderTriple.pos'proof · cited by 13
- ENNReal.HolderTriple.of_toRealproof · cited by 3
- Real.HolderTriple.inv_lt_invproof · cited by 2
- Real.HolderTriple.ennrealOfRealproof · cited by 2
- Real.HolderTriple.toNNRealproof · cited by 1
- Real.HolderTriple.all_posproof · cited by 1