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    $\begingroup$ Warning! Module[{x, expr, body}, expr = 2 x; Function[x, body] /. body -> expr ] won't make a correct Function. (it was also what I tried) $\endgroup$ Commented Mar 6, 2013 at 20:42
  • $\begingroup$ @Szabolcs Yes; I tried to address this in my answer below. $\endgroup$ Commented Mar 6, 2013 at 20:43
  • $\begingroup$ @Mr.Wizard I only got to reading it now :) $\endgroup$ Commented Mar 6, 2013 at 20:47
  • $\begingroup$ @Szabolcs It is Module that we are trying to fool here, not Function, thus this behavior - see my comment below Mr.Wizard's answer. $\endgroup$ Commented Mar 6, 2013 at 20:51
  • $\begingroup$ @Szabolcs Thanks for pointing that out - I was in a hurry and overlooked how important the Module part of the question was... $\endgroup$ Commented Mar 6, 2013 at 23:26