## Mathematical English Usage - a Dictionary

### by Jerzy Trzeciak

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 ......

This leads to the contradiction that $0<a<b=0$.