Theorems · Theorem · real analysis
Real.HolderTriple.inv_pos
∀ {p q r : ℝ}, p.HolderTriple q r → 0 < p⁻¹- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 106 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
- inv_posproof · cited by 124
- Real.HolderTriplestatement and proof · cited by 53
- Real.HolderTriple.posproof · cited by 20
Cited by5
Results whose statement or proof uses this declaration.
- Real.HolderTriple.pos'proof · cited by 13
- Real.HolderTriple.ltproof · cited by 8
- Real.HolderTriple.inv_nonnegproof · cited by 3
- Real.HolderTriple.inv_lt_invproof · cited by 2
- Real.HolderTriple.inv_ne_zeroproof · cited by 0