Theorems · Theorem · real analysis
Real.HolderConjugate.sub_one_mul_conj
∀ {p q : ℝ}, p.HolderConjugate q → (p - 1) * q = p- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 25,697
- mul_commproof · cited by 2,262
- Real.HolderConjugatestatement and proof · cited by 78
- eq_div_iffproof · cited by 38
- Real.HolderConjugate.conjugate_eqproof · cited by 6
- Real.HolderConjugate.sub_one_ne_zeroproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Real.HolderConjugate.div_conj_eq_sub_oneproof · cited by 2
- Real.HolderConjugate.mul_eq_addproof · cited by 1
- MeasureTheory.lintegral_prod_lintegral_pow_leproof · cited by 1
- ENNReal.lintegral_mul_rpow_le_lintegral_rpow_mul_lintegral_rpowproof · cited by 1