At:
vertex-subset-properties
1
1
1
1.
the_graph: Graph
2.
the_obj: GraphObject(the_graph)
3.
P: Vertices(the_graph)

4.
x,y:Vertices(the_graph). the_obj.eq(x,y) 
x = y
5.
T:Type, s:T, x:Vertices(the_graph), f:(T
Vertices(the_graph)
T).
L:Vertices(the_graph) List.
(
y:Vertices(the_graph). x-the_graph- > y 
(y
L))
& the_obj.eacc(f,s,x) = list_accum(s',x'.f(s',x');s;L)
6.
T:Type, s:T, f:(T
Vertices(the_graph)
T).
L:Vertices(the_graph) List.
no_repeats(Vertices(the_graph);L)
& (
y:Vertices(the_graph). (y
L))
& the_obj.vacc(f,s) = list_accum(s',x'.f(s',x');s;L)
7.
L: Vertices(the_graph) List
8.
no_repeats(Vertices(the_graph);L)
9.
y:Vertices(the_graph). (y
L)
no_repeats(Vertices(the_graph);filter(P;L))
By:
BackThru
Thm*
P:(T

), l:T List. no_repeats(T;l) 
no_repeats(T;filter(P;l))
Generated subgoals:
None
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