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At:
coprime prod1 1. a : 2. b1 : 3. b2 : 4. CoPrime(a,b1)
5. CoPrime(a,b2)
CoPrime(a,b1b2)
By:
(FwdThru Thm*a,b:. CoPrime(a,b) (x,y:. ax+by = 1) [4])
THEN
(FwdThru Thm*a,b:. CoPrime(a,b) (x,y:. ax+by = 1) [5])
THEN
(OnHyps [5;4] Thin)
THEN
(BackThru Thm*a,b:. CoPrime(a,b) (x,y:. ax+by = 1))