Theorems · Theorem · real analysis
ENNReal.HolderTriple.inv_eq
∀ (p q r : ENNReal) [p.HolderTriple q r], r⁻¹ = p⁻¹ + q⁻¹
- Defined in
- Mathlib.Data.ENNReal.Holder
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENNReal.HolderTriple
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- ENNReal.HolderTriplestatement and proof · cited by 65
- ENNReal.HolderTriple.inv_add_inv_eq_invproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.HolderTriple.inv_sub_inv_eq_invproof · cited by 3
- ENNReal.HolderTriple.uniqueproof · cited by 1
- Memℓp.holderproof · cited by 0
- ENNReal.HolderTriple.inv_sub_inv_eq_inv'proof · cited by 0