# ordered field

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• Jul 3rd 2008, 03:21 PM
particlejohn
ordered field
Prove that if $a,b \in \mathbb{F}$, where $\mathbb{F}$ is a field, then $(-a)b = -(ab) = a(-b)$.

This is the same as $-1 \times (a \times b )= (-1 \times a ) \times b = a \times (-1 \times b)$ by associative law?
• Jul 3rd 2008, 03:28 PM
Plato
Here is a file with the proof.