At:
dfsl-properties
2
1
3
1
1.
the_graph: Graph
2.
the_obj: GraphObject(the_graph)
3.
L: Vertices(the_graph) List
4.
L1: Vertices(the_graph) List
5.
s: traversal(the_graph)
6.
i: Vertices(the_graph)
7.
paren(Vertices(the_graph);s)
8.
no_repeats(Vertices(the_graph)+Vertices(the_graph);s)
9.
dfsl-traversal(the_graph;L1;s)
10.
s': traversal(the_graph)
11.
j:Vertices(the_graph). (inr(j) 
s') 
i-the_graph- > *j
12.
dfs(the_obj;s;i) = (s' @ s)
13.
df-traversal(the_graph;s' @ s)
14.
(inl(i) s)
15.
s2: traversal(the_graph)
16.
s' = ([inl(i)] @ s2 @ [inr(i)]) traversal(the_graph)
17.
l_disjoint(Vertices(the_graph)+Vertices(the_graph);s2;s)
18.
paren(Vertices(the_graph);s2)
19.
no_repeats(Vertices(the_graph)+Vertices(the_graph);s2)
20.
(inr(i) s2)
21.
j: Vertices(the_graph)
22.
(inr(j) s2)
(inr(j) [inl(i)] @ s2 @ [inr(i)])
By:
ObviousFrom [-1]
Generated subgoals:
None
About:
