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)