Theorems · Theorem · real analysis
Real.HolderConjugate.conjugate_eq
∀ {p q : ℝ}, p.HolderConjugate q → q = p / (p - 1)- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
- inv_invproof · cited by 494
- Real.HolderConjugatestatement and proof · cited by 78
- Real.HolderConjugate.symmproof · cited by 31
- Real.HolderTriple.ne_zeroproof · cited by 9
- Real.HolderTriple.inv_sub_inv_eq_invproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Real.HolderConjugate.sub_one_mul_conjproof · cited by 4
- NNReal.HolderConjugate.conjugate_eqproof · cited by 2
- Real.holderConjugate_iff_eq_conjExponentproof · cited by 2
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1
- MeasureTheory.lintegral_pow_le_pow_lintegral_fderiv_auxproof · cited by 1
- Real.HolderConjugate.conjExponent_eqproof · cited by 0