Theorems · Theorem · real analysis
ENNReal.HolderTriple.inv_add_inv_eq_inv
∀ (p q : ENNReal) (r : semiOutParam ENNReal) [self : p.HolderTriple q r], p⁻¹ + q⁻¹ = r⁻¹
- Defined in
- Mathlib.Data.ENNReal.Holder
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 127 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.
Cites2
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
Cited by7
Results whose statement or proof uses this declaration.
- ENNReal.HolderTriple.inv_eqproof · cited by 4
- ENNReal.HolderTriple.toReal_iffproof · cited by 2
- ENNReal.holderTriple_coe_iffproof · cited by 2
- ENNReal.HolderTriple.one_div_add_one_divproof · cited by 1
- ENNReal.HolderTriple.inv_inv_add_invproof · cited by 1
- ENNReal.HolderConjugate.inv_add_inv_eq_oneproof · cited by 1
- ENNReal.HolderTriple.holderConjugate_div_divproof · cited by 0