{ 
[T:Type]. [g:LabeledGraph(T)]. [a,b:
lg-size(g)].
(lg-add(g;a;b) 
LabeledGraph(T)) }
{ Proof }
Definitions occuring in Statement :
lg-add: lg-add(g;a;b),
lg-size: lg-size(g),
labeled-graph: LabeledGraph(T),
int_seg: {i..j
},
uall: [x:A]. B[x],
member: t T,
natural_number: $n,
universe: Type
Definitions :
uall: [x:A]. B[x],
labeled-graph: LabeledGraph(T),
member: t T,
lg-add: lg-add(g;a;b),
top: Top,
all: x:A. B[x],
implies: P 
Q,
spreadn: spread3,
le: A 
B,
not: 
A,
false: False,
nat: ,
int_seg: {i..j},
lg-size: lg-size(g),
uimplies: b supposing a,
lelt: i j < k,
and: P 
Q
Lemmas :
top_wf,
length_wf1,
mklist_wf,
length_wf_nat,
int_seg_wf,
mklist_length,
lg-size_wf,
nat_wf,
labeled-graph_wf,
select_wf,
ifthenelse_wf,
eq_int_wf
\mforall{}[T:Type]. \mforall{}[g:LabeledGraph(T)]. \mforall{}[a,b:\mBbbN{}lg-size(g)]. (lg-add(g;a;b) \mmember{} LabeledGraph(T))
Date html generated:
2011_08_16-PM-06_39_07
Last ObjectModification:
2011_06_20-AM-01_57_59
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