Theorems · Theorem · real analysis
NNReal.HolderTriple.inv_add_inv_eq_inv
∀ {p q r : NNReal}, p.HolderTriple q r → p⁻¹ + q⁻¹ = r⁻¹- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- NNRealstatement and proof · cited by 4,310
- NNReal.HolderTriplestatement and proof · cited by 42
Cited by6
Results whose statement or proof uses this declaration.
- NNReal.HolderTriple.pos'proof · cited by 6
- NNReal.HolderTriple.symmproof · cited by 5
- NNReal.HolderConjugate.inv_add_inv_eq_oneproof · cited by 2
- ENNReal.holderTriple_coe_iffproof · cited by 2
- NNReal.HolderTriple.inv_eqproof · cited by 1
- NNReal.HolderTriple.holderConjugate_div_divproof · cited by 0