Integer Arithmetic and Order
Why
How does arithmetic interact with integers.
Results
We can show the following.1
Let $a, b, c, d \in \Z $.
If $a \leq b$ and $c \leq d$, then $a + b
\leq c + d$.
Let $a, b, c, d \in \Z $ with $a, b \geq
0_{\Z }$.
If $a \leq b$ and $c \leq d$, then $a \cdot
c \leq a \cdot d$.
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