Theorems · Theorem · real analysis
Real.HolderConjugate.one_sub_inv
∀ {p q : ℝ}, p.HolderConjugate q → 1 - p⁻¹ = q⁻¹- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.HolderConjugatestatement and proof · cited by 78
- Real.HolderConjugate.symmproof · cited by 31
- sub_eq_of_eq_addproof · cited by 8
- Real.HolderConjugate.inv_add_inv_eq_oneproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1
- Real.HolderConjugate.inv_sub_oneproof · cited by 0