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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!
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