Nuprl - Proof: division4 sfa 1 2

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At: division4 sfa 1 2

1. k :

2. r1 :

k
3. r2 :

k
4. q1 :

5. q2 :

6. q1

k+r1 = q2

k-r2
7.

r2 = 0

q2 = q1+1 & r2 = k-r1

By:	FwdThru: Thm* k:, r1,r2:k, q1,q2:. q1k+r1 = q2k+r2 q1 = q2 & r1 = r2 on [ q1k+r1 = (q2-1)k+k-r2 ]

Generated subgoals:

None

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