Rank | Theorem | Name |
6 | Thm* T:(Id  ), to,from:(|T| (IdLnk List)).
Thm* bi-tree(T;to;from)  ( n: . p:Edge(T) List. lpath(p)  ||p|| n) | [bi-tree-diameter] |
cites the following: |
0 | Thm* T:(Id  ), to,from:(|T| (IdLnk List)), u:Edge(T).
Thm* bi-graph(T;to;from)  source(u) |T| | [src-edge] |
4 | Thm* n,m: , f:( n  m). Inj( n; m; f)  n m | [pigeon-hole] |
5 | Thm* p:IdLnk List, i: ||p||, j: (i+1).
Thm* lpath(p)  lconnects(l_interval(p;j;i);source(p[j]);source(p[i])) | [lpath-members-connected] |
2 | Thm* l:T List, i: ||l||, j: (i+1). ||l_interval(l;j;i)|| = i-j  | [length_l_interval] |