Theorems · Theorem · real analysis
ENNReal.HolderTriple.one_div_add_one_div
∀ (p q r : ENNReal) [p.HolderTriple q r], 1 / p + 1 / q = 1 / r
- Defined in
- Mathlib.Data.ENNReal.Holder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 129 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.
Cites4
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
- one_divproof · cited by 624
- ENNReal.HolderTriplestatement and proof · cited by 65
- ENNReal.HolderTriple.inv_add_inv_eq_invproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.HolderTriple.one_div_eqproof · cited by 1