{ 
[T:Type]. [g:LabeledGraph(T)]. [i:
]. (lg-is-source(g;i) 
) }
{ Proof }
Definitions occuring in Statement :
lg-is-source: lg-is-source(g;i),
labeled-graph: LabeledGraph(T),
bool: ,
nat: ,
uall: [x:A]. B[x],
member: t T,
universe: Type
Definitions :
uall: [x:A]. B[x],
member: t T,
lg-is-source: lg-is-source(g;i),
ifthenelse: if b then t else f fi ,
bfalse: ff,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
prop: 
,
and: P 
Q,
top: Top,
int_seg: {i..j
},
lelt: i 
j < k,
subtype: S 
T,
nat: ,
bool: ,
unit: Unit,
iff: P 
Q,
uimplies: b supposing a,
it: 
Lemmas :
lt_int_wf,
nat_properties,
lg-size_wf,
nat_wf,
bool_wf,
iff_weakening_uiff,
uiff_transitivity,
assert_wf,
eqtt_to_assert,
assert_of_lt_int,
null_wf3,
lg-in-edges_wf,
le_wf,
top_wf,
int_seg_wf,
le_int_wf,
bnot_wf,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int,
bfalse_wf,
labeled-graph_wf
\mforall{}[T:Type]. \mforall{}[g:LabeledGraph(T)]. \mforall{}[i:\mBbbN{}]. (lg-is-source(g;i) \mmember{} \mBbbB{})
Date html generated:
2011_08_16-PM-06_41_37
Last ObjectModification:
2011_06_20-AM-02_00_43
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