{ 
[A:Type]. [dfp:DataflowProgram(A)]. [s:df-program-statetype(dfp)]. [m:A].
(df-program-in-state-ap(dfp;s;m)
df-program-statetype(dfp)? 
bag(df-program-type(dfp))) }
{ Proof }
Definitions occuring in Statement :
df-program-in-state-ap: df-program-in-state-ap(dfp;s;m),
df-program-statetype: df-program-statetype(dfp),
df-program-type: df-program-type(dfp),
dataflow-program: DataflowProgram(A),
uall: [x:A]. B[x],
unit: Unit,
member: t T,
product: x:A B[x],
union: left + right,
universe: Type,
bag: bag(T)
Definitions :
set: {x:A| B[x]} ,
fpf: a:A fp-> B[a],
spread: spread def,
pi1: fst(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),
subtype_rel: A 
r B,
pi2: snd(t),
apply: f a,
function: x:A 
B[x],
all: x:A. B[x],
universe: Type,
dataflow-program: DataflowProgram(A),
uall: [x:A]. B[x],
isect: 
x:A. B[x],
axiom: Ax,
product: x:A B[x],
union: left + right,
unit: Unit,
bag: bag(T),
df-program-type: df-program-type(dfp),
df-program-in-state-ap: df-program-in-state-ap(dfp;s;m),
equal: s = t,
df-program-statetype: df-program-statetype(dfp),
member: t T,
Auto: Error :Auto,
RepUR: Error :RepUR,
CollapseTHEN: Error :CollapseTHEN,
D: Error :D,
RepeatFor: Error :RepeatFor
Lemmas :
dataflow-program_wf,
member_wf,
df-program-type_wf,
bag_wf,
df-program-statetype_wf,
unit_wf
\mforall{}[A:Type]. \mforall{}[dfp:DataflowProgram(A)]. \mforall{}[s:df-program-statetype(dfp)]. \mforall{}[m:A].
(df-program-in-state-ap(dfp;s;m) \mmember{} df-program-statetype(dfp)? \mtimes{} bag(df-program-type(dfp)))
Date html generated:
2011_08_16-AM-09_35_59
Last ObjectModification:
2011_06_02-PM-03_29_24
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