{ 
[M:Type 
Type]. [r:fulpRunType(P.M[P])]. [t:
]. [x:pInTransit(P.M[P])].
[env:pEnvType(P.M[P])].
(chosen-command(P.M[P];env;r;t;x) 
) }
{ Proof }
Definitions occuring in Statement :
chosen-command: chosen-command(P.M[P];env;r;t;x),
pEnvType: pEnvType(T.M[T]),
fulpRunType: fulpRunType(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],
fulpRunType: fulpRunType(T.M[T]),
so_apply: x[s],
member: t T,
prop: ,
chosen-command: chosen-command(P.M[P];env;r;t;x),
let: let,
pi1: fst(t),
and: P 
Q,
so_lambda: 
x.t[x],
all: x:A. B[x],
implies: P 
Q,
nat: ,
int_seg: {i..j
},
top: Top,
lelt: i 
j < k,
cand: A c B,
nat_plus: ,
lg-is-source: lg-is-source(g;i),
System: System(P.M[P]),
ldag: LabeledDAG(T),
uimplies: b supposing a,
false: False,
ifthenelse: if b then t else f fi ,
bfalse: ff,
or: P 
Q,
btrue: tt,
sq_type: SQType(T),
guard: {T},
iff: P 
Q,
not: 
A
Lemmas :
run-system_wf,
System_wf,
subtype_rel_function,
nat_wf,
Id_wf,
pMsg_wf,
unit_wf,
int_seg_wf,
nat_plus_properties,
top_wf,
ldag_wf,
pInTransit_wf,
le_wf,
subtype_rel_simple_product,
subtype_rel_self,
assert_wf,
lg-is-source_wf_dag,
lg-label_wf_dag,
pEnvType_wf,
nat_plus_wf,
fulpRunType_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:fulpRunType(P.M[P])]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[x:pInTransit(P.M[P])].
\mforall{}[env:pEnvType(P.M[P])].
(chosen-command(P.M[P];env;r;t;x) \mmember{} \mBbbP{})
Date html generated:
2011_08_17-PM-03_42_31
Last ObjectModification:
2011_06_18-AM-11_23_47
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