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theorem proved term proof

additive_decomposition

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formal statement (Lean)

  25theorem additive_decomposition {n : ℕ} (α ε : Vec n) :
  26    additiveQuadratic ε
  27      = multiplicativeQuadratic α ε + compensatoryQuadratic α ε := by

proof body

Term-mode proof.

  28  unfold compensatoryQuadratic
  29  ring
  30
  31/-- Squared Cauchy-Schwarz bound in our notation. -/

depends on (4)

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