deduce

The meaning of deduce is to reach a conclusion or fact through mathematical reasoning. We do this by using information and facts which are already available.

Here is an example of algebraic deduction:

$$x\Rightarrow <!--\; \Rightarrow \; -->y$$

$$y\Rightarrow <!--\; \Rightarrow \; -->z$$

$$\mathrm{therefore}x\Rightarrow <!--\; \Rightarrow \; -->z$$