Theorems · Theorem · real analysis
ENNReal.HolderConjugate.mul_eq_add
∀ {p q : ENNReal} [h : p.HolderConjugate q], p * q = p + q- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENNReal.HolderConjugate
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Top.topproof · cited by 9,680
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_commproof · cited by 1,535
- eq_or_neproof · cited by 1,117
- mul_addproof · cited by 413
- add_mulproof · cited by 363
- top_addproof · cited by 55
- add_topproof · cited by 49
- ENNReal.HolderConjugatestatement and proof · cited by 39
- ENNReal.mul_inv_cancelproof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.HolderConjugate.div_conj_eq_sub_oneproof · cited by 0