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Theorems · Theorem · real analysis

ENNReal.HolderTriple.toReal

∀ {p q : ENNReal} (r : ENNReal),
  0 < p.toReal → 0 < q.toReal → ∀ [p.HolderTriple q r], p.toReal.HolderTriple q.toReal r.toReal
Defined in
Mathlib.Data.Real.ConjExponents
Cited by
2 results in Mathlib
Foundations
Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ENNReal.HolderTriple
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.HolderConjugate.toReal_iff · cited by 2HolderConjugate.toReal_iffMemℓp.holder_gen_bound · cited by 1Memℓp.holder_gen_boundReal · cited by 25697RealENNReal · cited by 9879ENNRealENNReal.toReal · cited by 859ENNReal.toRealENNReal.HolderTriple · cited by 65ENNReal.HolderTripleReal.HolderTriple · cited by 53Real.HolderTripleENNReal.HolderTriple.toReal_iff · cited by 2HolderTriple.toReal_iffHolderTriple.toRealCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.