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# Property 4

Hi, a simpler proof:

a < b implies (by 3) that ac < bc.

c < d implies (by 3) that bc < bd.

The transitivity then gives that ac < bd.

Parting words from the person who closed the correction:

Hi, a simpler proof:
a < b implies (by 3) that ac < bc.
c < d implies (by 3) that bc < bd.
The transitivity then gives that ac < bd.
That is a lot nicer than what I had!

**Status:**Accepted

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