Theorems · Theorem · real analysis
Real.HolderConjugate.div_conj_eq_sub_one
∀ {p q : ℝ}, p.HolderConjugate q → p / q = p - 1- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
- Real.HolderConjugatestatement and proof · cited by 78
- Real.HolderConjugate.symmproof · cited by 31
- Real.HolderTriple.ne_zeroproof · cited by 9
- Real.HolderConjugate.sub_one_mul_conjproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- NNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 1
- ENNReal.rpow_sum_le_const_mul_sum_rpowproof · cited by 0