At:
dfsl-properties
2
1
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.
(inr(i) 
s) & (inl(i) s)
(
s2:traversal(the_graph). s' = ([inl(i)] @ s2 @ [inr(i)]) traversal(the_graph))
12.
l_disjoint(Vertices(the_graph)+Vertices(the_graph);s';s)
13.
no_repeats(Vertices(the_graph)+Vertices(the_graph);s')
14.
paren(Vertices(the_graph);s')
15.
j:Vertices(the_graph). (inr(j) s') i-the_graph- > *j
16.
dfs(the_obj;s;i) = (s' @ s)
17.
df-traversal(the_graph;s' @ s)
18.
(inl(i) s)
(inr(i) s) 
(inl(i) s)
By:
ObviousFrom [-1]
Generated subgoals:
None
About:
