(21steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc

At: connect transitivity 2 2 2

1. the_graph: Graph
2. x: Vertices(the_graph)
3. y: Vertices(the_graph)
4. z: Vertices(the_graph)
5. p1: Vertices(the_graph) List
6. 0 < ||p1||
7. i:(||p1||-1). p1[i]-the_graph- > p1[(i+1)]
8. p1[0] = x
9. p1[(||p1||-1)] = y
10. p: Vertices(the_graph) List
11. 0 < ||p||
12. i:(||p||-1). p[i]-the_graph- > p[(i+1)]
13. p[0] = y
14. p[(||p||-1)] = z
15. 1 < ||p||
(p1 @ nil)[(||p1 @ nil||-1)] = z

By: Subst ((p1 @ nil) ~ p1) 0

Generated subgoals:

1 (p1 @ nil) ~ p11 step
 
2 p1[(||p1||-1)] = z1 step

About:
listnilnatural_numberaddsubtractless_thanequalsqequalall

(21steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc