proposition 11.26 Product rule

Rests on

• depends_on definition 11.25 Joint density and independence ¶
  • depends_on definition 11.20 Density ¶
    • depends_on definition 7.39 Darboux sums and the definite integral ¶
      • depends_on axiom 7.1 Completeness of $\R$ ¶
  • depends_on definition 11.13 Independence ¶
    • depends_on definition 11.3 Discrete random variable ¶
      • depends_on definition 11.1 Discrete probability space ¶
        • depends_on definition 7.45 Series ¶
• depends_on proposition 11.24 The algebra of the discrete case transfers ¶
  • depends_on definition 11.23 Expectation, moments and quantiles in the continuous case ¶
    • depends_on definition 11.20 Density ¶ ↺
    • depends_on definition 11.4 Expectation ¶
      • depends_on definition 7.45 Series ¶ ↺
      • depends_on definition 11.3 Discrete random variable ¶ ↺
  • depends_on proposition 11.5 Transfer, linearity, monotonicity ¶
    • depends_on definition 11.4 Expectation ¶ ↺
    • depends_on proposition 11.2 Elementary rules ¶
      • depends_on definition 11.1 Discrete probability space ¶ ↺
      • proves proof ch:09-probability-statistics@proof-1 ¶
    • proves proof ch:09-probability-statistics@proof-2 ¶
  • proves proof ch:09-probability-statistics@proof-10 ¶
• proves proof ch:09-probability-statistics@proof-11 ¶

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