#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## contradiction

[*see also*: contrary, otherwise

To obtain a contradiction, we suppose that......

Suppose, to derive a contradiction, that......

Striving for a contradiction, suppose that......

Suppose, towards a contradiction <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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