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. -/