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At: div fun sat div nrel 1 1 1 1 1

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

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

By: Rewrite (NthC 2 (LemmaC Thm* a,b:. a+b = b+a) THENC HigherC (RevLemmaC Thm* a:, n:. a = (a n)n+(a rem n))) 3

Generated subgoal:

13. 0+(a n)na
4. (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

(8steps) PrintForm Definitions Lemmas int 2 Sections StandardLIB Doc