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

At: dfl-traversal-consr 2 1

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. j: Vertices(the_graph)
11. inr(j) = inr(i) Vertices(the_graph)+Vertices(the_graph)
j = i

By: ObviousFrom [-1]

Generated subgoals:

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About:
listconsnilunioninlinrequalimpliesall

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