{ 
[A:Type]. [dfp:DataflowProgram(A)]. [x:df-program-statetype(dfp)?].
(dfp-meaning-in-state(dfp;x) 
dataflow(A;bag(df-program-type(dfp)))) }
{ Proof }
Definitions occuring in Statement :
dfp-meaning-in-state: dfp-meaning-in-state(dfp;x),
df-program-statetype: df-program-statetype(dfp),
df-program-type: df-program-type(dfp),
dataflow-program: DataflowProgram(A),
dataflow: dataflow(A;B),
uall: [x:A]. B[x],
unit: Unit,
member: t T,
union: left + right,
universe: Type,
bag: bag(T)
Definitions :
natural_number: $n,
int: 
,
inr: inr x ,
null-dataflow: null-dataflow(),
nat: 
,
so_lambda: 
x.t[x],
pi2: snd(t),
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
and: P 
Q,
uiff: uiff(P;Q),
pair: <a, b>,
subtype_rel: A 
r B,
fpf: a:A fp-> B[a],
spread: spread def,
pi1: fst(t),
guard: {T},
implies: P 
Q,
sq_type: SQType(T),
corec: corec(T.F[T]),
inl: inl x ,
df-program-in-state: df-program-in-state(dfp;s),
df-program-meaning: df-program-meaning(dfp),
decide: case b of inl(x) => s[x] | inr(y) => t[y],
bool: 
,
function: x:A 
B[x],
all: x:A. B[x],
product: x:A 
B[x],
df-program-statetype: df-program-statetype(dfp),
unit: Unit,
dataflow: dataflow(A;B),
bag: bag(T),
df-program-type: df-program-type(dfp),
dfp-meaning-in-state: dfp-meaning-in-state(dfp;x),
union: left + right,
universe: Type,
equal: s = t,
axiom: Ax,
member: t T,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
dataflow-program: DataflowProgram(A),
tactic: Error :tactic,
prop: 
,
valueall-type: valueall-type(T),
set: {x:A| B[x]} ,
Auto: Error :Auto,
RepUR: Error :RepUR,
CollapseTHEN: Error :CollapseTHEN,
RepeatFor: Error :RepeatFor,
Complete: Error :Complete,
Try: Error :Try,
sqequal: s ~ t,
Subst': Error :Subst'
Lemmas :
subtype_base_sq,
valueall-type_wf,
set_subtype_base,
product_subtype_base,
df-program-in-state_wf,
df-program-meaning_wf,
dataflow_wf,
bag_wf,
df-program-type_wf,
member_wf,
unit_wf,
df-program-statetype_wf,
subtype_rel_wf,
dataflow-program_wf,
corec_wf,
null-dataflow_wf
\mforall{}[A:Type]. \mforall{}[dfp:DataflowProgram(A)]. \mforall{}[x:df-program-statetype(dfp)?].
(dfp-meaning-in-state(dfp;x) \mmember{} dataflow(A;bag(df-program-type(dfp))))
Date html generated:
2011_08_16-AM-09_35_50
Last ObjectModification:
2011_06_07-PM-03_16_02
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