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At: rect enumer 1 3 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1
1. n:
2. m:
3. a3:
4. 0 a3 < n
5. a4:
6. 0 a4 < m
7. a5:
8. 0 a5 < n
9. a6:
10. 0 a6 < m
11. a3m+a4 = a5m+a6 (nm)
12. (a4 rem m) = a4
13. (a6 rem m) = a6

(a4 rem m) = (a6 rem m)
By: Inst Thm* a,b:, n:. ((a+bn) rem n) = (a rem n) [a4;a3;m]
Generated subgoal:

114. ((a4+a3m) rem m) = (a4 rem m)
(a4 rem m) = (a6 rem m)

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equalintremainderalladdmultiplynatural_number