FDL > PVS > Number Theory > gcd > gcd def > pf:gcd def > 1 > 2 > 1 > 1 > 1 > 1 > 1 > 1 (2 nodes)


Conclusion

-1. divides(nn!1, i!1)
-2. divides(nn!1, j!1)
-3. FORALL mm : (divides(mm, i!1) AND divides(mm, j!1)) IMPLIES (mm < = nn!1)
-4. (i!1 /= 0) OR (j!1 /= 0)

1. maximum?(nn!1, {k:posnat | divides(k, i!1) AND divides(k, j!1)})


Tactic
EXPAND "maximum?"

Premise 1.   (has proof of 1 step)

-1. divides(nn!1, i!1)
-2. divides(nn!1, j!1)
-3. FORALL mm : (divides(mm, i!1) AND divides(mm, j!1)) IMPLIES (mm < = nn!1)
-4. (i!1 /= 0) OR (j!1 /= 0)

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