Theorems · Theorem · real analysis
ENNReal.toReal_mul
∀ {a b : ENNReal}, (a * b).toReal = a.toReal * b.toReal- Defined in
- Mathlib.Data.ENNReal.Real
- Cited by
- 57 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- ENNReal.toRealstatement · cited by 859
- MonoidWithZeroHom.map_mulproof · cited by 4
- ENNReal.toRealHomproof · cited by 3
Cited by57
Results whose statement or proof uses this declaration.
- ENNReal.toReal_divproof · cited by 19
- ProbabilityTheory.variance_const_mulproof · cited by 5
- ENNReal.log_mul_addproof · cited by 4
- MeasureTheory.enorm_setToFun_leproof · cited by 4
- MeasureTheory.measureReal_nnreal_smul_applyproof · cited by 4
- MeasureTheory.norm_indicatorConstLpproof · cited by 4
- ENNReal.toReal_smulproof · cited by 3
- MeasureTheory.llr_smul_rightproof · cited by 3
- MeasureTheory.measureReal_ennreal_smul_applyproof · cited by 2
- MeasureTheory.eLpNorm_enorm_rpowproof · cited by 2
- MeasureTheory.L1.SimpleFunc.norm_eq_sum_mulproof · cited by 2
- ProbabilityTheory.IndepFun.integral_bilin_comp_comp'proof · cited by 2