Theorems · Theorem · real analysis
ENNReal.HolderTriple.toNNReal_iff
∀ {p q : ENNReal} (r : ENNReal),
0 < p.toNNReal → 0 < q.toNNReal → (p.toNNReal.HolderTriple q.toNNReal r.toNNReal ↔ p.HolderTriple q r)- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 135 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.
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement · cited by 4,310
- ENNReal.toNNRealstatement and proof · cited by 165
- ENNReal.HolderTriplestatement and proof · cited by 65
- NNReal.HolderTriplestatement · cited by 42
- ENNReal.HolderTriple.toReal_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.HolderTriple.toNNRealproof · cited by 0