Proof: Difference between revisions
→{{header|ATS}}
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=={{header|ATS}}==
Although probably I could do more precisely what is asked, and encode some formal logic in the ATS proofs language, that is not what I do below. Rosetta Code is here to show what a language can do, and so it seems better to show a bit of how ATS ''actually'' would be used.
In that case, addition is a poor operation upon which to base the demonstration. ''Multiplication'' would be much better, because ATS has relatively little built-in knowledge of multiplication; the operation has to be defined by axioms or recursively from addition. But I shall stick with addition, just the same.
<lang ATS>(* ATS does not contain a full-fledged proof language, but does
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<pre>$ patscc proof.dats && ./a.out
Success!</pre>
=={{header|Coq}}==
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