{ 
[M:Type 
Type]. [r:pRunType(P.M[P])]. [t:
]. [x:pInTransit(P.M[P])].
(choosable-command(P.M[P];r;t;x) 
) }
{ Proof }
Definitions occuring in Statement :
choosable-command: choosable-command(P.M[P];r;t;x),
pRunType: pRunType(T.M[T]),
pInTransit: pInTransit(P.M[P]),
nat_plus: ,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
so_apply: x[s],
member: t T,
prop: ,
choosable-command: choosable-command(P.M[P];r;t;x),
run-system: run-system(r;t),
exists: 
x:A. B[x],
nat: ,
and: P 
Q,
so_lambda: 
x.t[x],
le: A 
B,
not: 
A,
implies: P 
Q,
false: False,
all: x:A. B[x],
cand: A c B,
int_seg: {i..j
},
lelt: i j < k,
nat_plus: ,
ldag: LabeledDAG(T),
lg-is-source: lg-is-source(g;i),
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
bfalse: ff,
or: P 
Q,
btrue: tt,
sq_type: SQType(T),
guard: {T},
iff: P 
Q
Lemmas :
pi2_wf,
Id_wf,
pMsg_wf,
unit_wf,
top_wf,
ldag_wf,
pInTransit_wf,
nat_plus_properties,
le_wf,
nat_wf,
assert_wf,
lg-is-source_wf_dag,
lg-label_wf_dag,
nat_plus_wf,
pRunType_wf,
lt_int_wf,
lg-size_wf,
bool_wf,
le_int_wf,
bnot_wf,
btrue_neq_bfalse,
assert_elim,
bfalse_wf,
bool_cases,
subtype_base_sq,
bool_subtype_base,
iff_weakening_uiff,
uiff_transitivity,
eqtt_to_assert,
assert_of_lt_int,
eqff_to_assert,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[x:pInTransit(P.M[P])].
(choosable-command(P.M[P];r;t;x) \mmember{} \mBbbP{})
Date html generated:
2011_08_17-PM-03_42_19
Last ObjectModification:
2011_06_18-AM-11_23_36
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