Theorems · Theorem · real analysis
ENNReal.HolderConjugate.toReal
∀ {p q : ENNReal}, 1 < p.toReal → ∀ [p.HolderConjugate q], p.toReal.HolderConjugate q.toReal- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENNReal.HolderConjugate
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 · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- ENNReal.toRealstatement and proof · cited by 859
- Real.HolderConjugatestatement · cited by 78
- ENNReal.HolderConjugatestatement and proof · cited by 39
- ENNReal.HolderConjugate.toReal_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.HolderConjugate.toReal_of_ne_topproof · cited by 0