Remove "read more" if node is shown on full

Hello,
if I call node_view() with the teaser parameter set to false, the "read more" link will still appear if the teaser is shorter than the body.

Please (unless there's something wrong in doing this) remove the "read more" ling if the article text is fully visible.
I solved the problem in my local tree by setting $readmore to FALSE in node_prepare() if the $teaser parameter is false.