Theorems · Theorem · real analysis
ENNReal.HolderTriple.toReal_iff
∀ {p q : ENNReal} (r : ENNReal),
0 < p.toReal → 0 < q.toReal → (p.toReal.HolderTriple q.toReal r.toReal ↔ p.HolderTriple q r)- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 134 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 · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- LT.lt.ne'proof · cited by 1,417
- ENNReal.toRealstatement and proof · cited by 859
- ENNReal.HolderTriplestatement and proof · cited by 65
- Real.HolderTriplestatement · cited by 53
- ENNReal.toReal_invproof · cited by 31
- ENNReal.toReal_addproof · cited by 22
- ENNReal.toReal_pos_iffproof · cited by 20
- ENNReal.HolderTriple.inv_add_inv_eq_invproof · cited by 7
- ENNReal.HolderTriple.of_toRealproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.HolderTriple.toRealproof · cited by 2
- ENNReal.HolderTriple.toNNReal_iffproof · cited by 1