Def bi-graph(G;to;from)
Def == i:|G|. 
Def == (lto(i).destination(l) = i
Def == & (G(source(l)))
Def == & (l  from(source(l)))
Def == & (lnk-inv(l)  from(i)))
Def == & (lfrom(i).source(l) = i
Def == & & (G(destination(l)))
Def == & & (l  to(destination(l)))
Def == & & (lnk-inv(l)  to(i)))

is mentioned by

Thm* T:(Id), to,from:(|T|(IdLnk List)), f:(Edge(T)). Thm* bi-graph(T;to;from)  spanner(f;T;to;from)  Prop	[spanner_wf]
Thm* G:(Id), to,from:(|G|(IdLnk List)), e:Edge(G), i:|G|. Thm* bi-graph(G;to;from)  ((inverse(e)  from(i))  destination(e) = i)	[edge-inv-from]
Thm* G:(Id), to,from:(|G|(IdLnk List)), e:Edge(G), i:|G|. Thm* bi-graph(G;to;from)  ((inverse(e)  to(i))  source(e) = i)	[edge-inv-to]
Thm* G:(Id), to,from:(|G|(IdLnk List)), e:Edge(G), i:|G|. Thm* bi-graph(G;to;from)  ((e  from(i))  source(e) = i)	[edge-from]
Thm* G:(Id), to,from:(|G|(IdLnk List)), e:Edge(G), i:|G|. Thm* bi-graph(G;to;from)  ((e  to(i))  destination(e) = i)	[edge-to]
Thm* G:(Id), to,from:(|G|(IdLnk List)), l:Edge(G). Thm* bi-graph(G;to;from)  inverse(l)  Edge(G)	[bi-graph-inv_wf]
Thm* G:(Id), to,from:(|G|(IdLnk List)), i:|G|. Thm* bi-graph(G;to;from)  from(i)  Edge(G) List	[bi-graph-from_wf]
Thm* G:(Id), to,from:(|G|(IdLnk List)), i:|G|. Thm* bi-graph(G;to;from)  to(i)  Edge(G) List	[bi-graph-to_wf]
Thm* T:(Id), to,from:(|T|(IdLnk List)), u:Edge(T). Thm* bi-graph(T;to;from)  destination(u)  |T|	[dst-edge]
Thm* T:(Id), to,from:(|T|(IdLnk List)), u:Edge(T). Thm* bi-graph(T;to;from)  source(u)  |T|	[src-edge]
Thm* G:(Id), to,from:(|G|(IdLnk List)), l:Edge(G). Thm* bi-graph(G;to;from)  lnk-inv(l)  Edge(G)	[inv-is-edge]
Def bi-tree(T;to;from) Def == bi-graph(T;to;from) Def == & (i,j:|T|. Def == & (p:Edge(T) List.  Def == & (lconnects(p;i;j) & (q:Edge(T) List. lconnects(q;i;j)  q = p)) Def == & (L:|T| List. i:|T|. (i  L)) Def == & |T|	[bi-tree]

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