Theorems · Theorem · real analysis
Real.HolderTriple.ne_zero
∀ {p q r : ℝ}, p.HolderTriple q r → p ≠ 0- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- LT.lt.ne'proof · cited by 1,417
- Real.HolderTriplestatement and proof · cited by 53
- Real.HolderTriple.posproof · cited by 20
Cited by9
Results whose statement or proof uses this declaration.
- Real.HolderConjugate.conjugate_eqproof · cited by 6
- NNReal.inner_le_Lp_mul_Lqproof · cited by 5
- Real.young_inequality_of_nonnegproof · cited by 2
- Real.HolderConjugate.div_conj_eq_sub_oneproof · cited by 2
- NNReal.isGreatest_Lpproof · cited by 1
- NNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 1
- NNReal.inner_le_Lp_mul_Lq_hasSumproof · cited by 1
- Real.young_inequality_eq_iff_of_nonnegproof · cited by 1
- ENNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 0