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At: rect enumer 1 3 1 2 1 1 1 7 1 1 1 1 1 1

1. n:
2. m:
3. b: (nm)
4. a1:
5. 0 a1 < n
6. a2:
7. 0 a2 < m
8. a1n-1 a1 < n-1+1
9. a1n-1
10. ma1m(n-1)

a1m+a2 < nm

By: Inst Thm* i1,i2,j1,j2:. i1 < j1 i2j2 i1+i2 < j1+j2 [a2;a1m;m;m(n-1)]

Generated subgoal:

111. a2+a1m < m+m(n-1)
a1m+a2 < nm


About:
less_thanaddmultiplyallintimpliessubtractnatural_number