FDL > PVS > Graphs > ramsey new > subgraph indep > pf:subgraph indep > 1 > 1 > 1 > 1 > 1 > 2 > 1 (12 nodes)


Conclusion

-1. D!1(i!1)
-2. D!1(j!1)
-3. edges(g!1)(dbl[T](i!1, j!1))
-4. FORALL x:T : D!1(x) = > (vert(g!1)(x) AND V!1(x))
-5. card(D!1) > = p!1
-6. FORALL i_2016:T, j : ((NOT (i_2016 = j)) AND D!1(i_2016) AND D!1(j)) IMPLIES (NOT ((NOT (i_2016 = j)) AND edges(g!1)(dbl[T](i_2016, j)) AND (FORALL x:T : ((x = i_2016) OR (x = j)) IMPLIES V!1(x))))

1. i!1 = j!1
2. i!1 = j!1


Tactic
INST?

Premise 1.   (has proof of 11 steps)

-1. D!1(i!1)
-2. D!1(j!1)
-3. edges(g!1)(dbl[T](i!1, j!1))
-4. D!1(i!1) = > (vert(g!1)(i!1) AND V!1(i!1))
-5. card(D!1) > = p!1
-6. FORALL i_2016:T, j : ((NOT (i_2016 = j)) AND D!1(i_2016) AND D!1(j)) IMPLIES (NOT ((NOT (i_2016 = j)) AND edges(g!1)(dbl[T](i_2016, j)) AND (FORALL x:T : ((x = i_2016) OR (x = j)) IMPLIES V!1(x))))

1. i!1 = j!1
2. i!1 = j!1