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At: div fun sat div nrel 1 1 1 1

1. a:
2. n:
3. 0+(a n)n(a rem n)+(a n)n
4. (a rem n) < n

n(a n) a < n((a n)+1)

By: Rewrite (GenLemmaWithThenLC 1 [`n',((a n)n)] [] Thm* a,b,n:. a < b a+n < b+n) 4

Generated subgoal:

14. (a rem n)+(a n)n < n+(a n)n
n(a n) a < n((a n)+1)


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natural_numberaddmultiplydivideremainderless_than

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