Theorems · Theorem · real analysis
ENNReal.HolderTriple.holderConjugate_div_div
∀ (p q r : ENNReal) [p.HolderTriple q r], r ≠ 0 → r ≠ ⊤ → (p / r).HolderConjugate (q / r)
- Defined in
- Mathlib.Data.ENNReal.Holder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENNReal.HolderTriple
Around this declaration
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Cites10
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
- Top.topstatement and proof · cited by 9,680
- div_eq_mul_invproof · cited by 715
- mul_addproof · cited by 413
- inv_oneproof · cited by 301
- ENNReal.HolderTriplestatement and proof · cited by 65
- ENNReal.HolderConjugatestatement · cited by 39
- ENNReal.mul_inv_cancelproof · cited by 37
- ENNReal.HolderTriple.inv_add_inv_eq_invproof · cited by 7
- ENNReal.inv_divproof · cited by 2
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