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

At: connect transitivity 2 1

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 @ tl(p))[(||p1 @ tl(p)||-1)] = z

By:
RWO Thm* as,bs:T List. ||as @ bs|| = ||as||+||bs|| 0
THEN
RWO Thm* as,bs:T List, i:{||as||..(||as||+||bs||)}. (as @ bs)[i] = bs[(i-||as||)] 0


Generated subgoals:

1 ||p1||+||tl(p)||-1 {||p1||..(||p1||+||tl(p)||)}1 step
 
2 tl(p)[(||p1||+||tl(p)||-1-||p1||)] = z4 steps

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