FDL > PVS > Number Theory > gcd > gcd def > pf:gcd def > 1 > 1 > 1 > 1 (5 nodes)


Conclusion

-1. gcd(i!1, j!1) = nn!1
-2. (i!1 /= 0) OR (j!1 /= 0)

1. FORALL mm : (divides(mm, i!1) AND divides(mm, j!1)) IMPLIES (mm < = nn!1)


Tactic
SKOSIMP*

Premise 1.   (has proof of 4 steps)

-1. gcd(i!1, j!1) = nn!1
-2. divides(mm!1, i!1)
-3. divides(mm!1, j!1)
-4. (i!1 /= 0) OR (j!1 /= 0)

1. mm!1 < = nn!1