Theorems · Theorem · real analysis
Real.HolderTriple.inv_add_inv_eq_inv
∀ {p q r : ℝ}, p.HolderTriple q r → p⁻¹ + q⁻¹ = r⁻¹- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.HolderTriplestatement and proof · cited by 53
Cited by9
Results whose statement or proof uses this declaration.
- Real.HolderTriple.pos'proof · cited by 13
- Real.HolderTriple.symmproof · cited by 7
- Real.HolderConjugate.inv_add_inv_eq_oneproof · cited by 6
- Real.HolderTriple.one_div_add_one_divproof · cited by 2
- Real.HolderTriple.ennrealOfRealproof · cited by 2
- Real.HolderTriple.inv_lt_invproof · cited by 2
- Real.HolderTriple.holderConjugate_div_divproof · cited by 1
- Real.HolderTriple.inv_eqproof · cited by 1
- Real.HolderTriple.inv_inv_add_invproof · cited by 1