(11steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc

At: dfl-traversal-consr 3 2
1. the_graph: Graph
2. L: Vertices(the_graph) List
3. i: Vertices(the_graph)
4. s: traversal(the_graph)
5. j:Vertices(the_graph). (inr(j) s) (inl(j) s) j-the_graph- > *i
6. L-the_graph- > *i
7. i:Vertices(the_graph), s1,s2:traversal(the_graph). s = (s1 @ [inr(i) / s2]) traversal(the_graph) (j:Vertices(the_graph). (inr(j) s2) (inl(j) s2) j-the_graph- > *i)
8. j:Vertices(the_graph). (inr(j) s) L-the_graph- > *j
9. i:Vertices(the_graph), s1,s2:traversal(the_graph). (j:Vertices(the_graph). i-the_graph- > *j non-trivial-loop(the_graph;j)) s = (s1 @ [inl(i) / s2]) traversal(the_graph) L-the_graph- > *i
10. i@0: Vertices(the_graph)
11. u: Vertices(the_graph)+Vertices(the_graph)
12. v: (Vertices(the_graph)+Vertices(the_graph)) List
13. s2: traversal(the_graph)
14. j:Vertices(the_graph). i@0-the_graph- > *j non-trivial-loop(the_graph;j)
15. inr(i) = u
16. s = (v @ [inl(i@0) / s2]) traversal(the_graph)
L-the_graph- > *i@0
By: AutoInst [i@0;v;s2]
Generated subgoals:

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listconsunioninlinrequalimpliesall

(11steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc