[see also: contrary, otherwise]
To obtain a contradiction, we suppose that ......
Suppose, to derive a contradiction, that ......
Striving for a contradiction, suppose that ......
Aiming for a contradiction, suppose that ......
Suppose, towards a contradiction $\langle$for contradiction$\rangle$, 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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