FDL > PVS > Graphs > ramsey new > card r1 r2 > pf:card r1 r2 > 1 (11 nodes)


Conclusion

1. (card(r1(G!1)) + card(r2(G!1))) > = (size(G!1) - 1)


Tactic
CASE "add(choose(vert(G!1)),union(r1(G!1),r2(G!1))) = vert(G!1)"

Premise 1.   (has proof of 7 steps)

-1. add(choose(vert(G!1)), union(r1(G!1), r2(G!1))) = vert(G!1)

1. (card(r1(G!1)) + card(r2(G!1))) > = (size(G!1) - 1)

Premise 2.   (has proof of 3 steps)

1. add(choose(vert(G!1)), union(r1(G!1), r2(G!1))) = vert(G!1)
2. (card(r1(G!1)) + card(r2(G!1))) > = (size(G!1) - 1)