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theorem proved term proof

simultaneous_differs_from_sequential

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formal statement (Lean)

 182theorem simultaneous_differs_from_sequential {n₁ n₂ : ℝ}
 183    (hn₁ : 0 < n₁) (hn₂ : 0 < n₂) (hne : n₁ ≠ n₂) :
 184    Real.sqrt (n₁ * n₂) ≠ arithmeticMean n₁ n₂ :=

proof body

Term-mode proof.

 185  geometric_ne_arithmetic hn₁ hn₂ hne
 186
 187/-! ## §5. Derived identities -/
 188
 189/-- **F1.5.1**: Recognition Composition Law (RCL) -/

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