At:
depthfirst-df-traversal
3
1.
the_graph: Graph
2.
the_obj: GraphObject(the_graph)
3.
s: traversal(the_graph)
4.
i: Vertices(the_graph)
5.
df-traversal(the_graph;s)
6.
paren(Vertices(the_graph);s)
df-traversal(the_graph;dfs(the_obj;s;i))
By:
BackThru
Thm* For any graph
the_obj:GraphObject(the_graph), s:Traversal, i:V. df-traversal(the_graph;s) 
(
j:V. (inr(j)
s) 
(inl(j)
s) 
j-the_graph- > *i) 
df-traversal(the_graph;dfs(the_obj;s;i))
THEN
FwdThru
Thm*
s':(T+T) List. paren(T;s') 
(
i:T. (inr(i)
s') 
(inl(i)
s'))
[-4;-2]
Generated subgoals:
None
About: