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theorem proved term proof

polynomial_continuous

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formal statement (Lean)

 277private theorem polynomial_continuous
 278    (a b c d e f : ℝ) :
 279    Continuous (Function.uncurry
 280      (fun u v : ℝ => a + b*u + c*v + d*u*v + e*u^2 + f*v^2)) := by

proof body

Term-mode proof.

 281  unfold Function.uncurry
 282  fun_prop
 283
 284/-- Polynomial route-independence implies continuous route-independence. -/

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