[see also: contrary, otherwise]
To obtain a contradiction, we suppose that......
Assume, to derive a contradiction, that......
Striving for a contradiction, assume that......
Suppose, for contradiction, that......
......, which is a contradiction.
Now we have the required contradiction since......
This leads to the contradiction that 0<a<b=0.
......, in contradiction with Lemma 2.
This is a clear contradiction of the fact that......
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