Suppose, to look at a more specific situation, that ......
Suppose that, contrary to our claim, ......
We now show that $A$ is closed. Suppose that, on the contrary, there is an $x$ ......
Suppose towards a contradiction that ......
We now prove ...... Indeed, suppose otherwise. Then ......
Suppose for the moment that $q=1$, so that $\beta = 1$.
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