{ 
[A:Type]. [dfp:DataflowProgram(A)]. (once-prog(dfp) 
DataflowProgram(A)) }
{ Proof }
Definitions occuring in Statement :
once-prog: once-prog(dfp),
dataflow-program: DataflowProgram(A),
uall: [x:A]. B[x],
member: t T,
universe: Type
Definitions :
Unfold: Error :Unfold,
CollapseTHEN: Error :CollapseTHEN,
MaAuto: Error :MaAuto,
universe: Type,
equal: s = t,
member: t T,
dataflow-program: DataflowProgram(A),
isect: 
x:A. B[x],
uall: [x:A]. B[x],
axiom: Ax,
once-prog: once-prog(dfp),
all: x:A. B[x],
function: x:A 
B[x],
bool: 
,
product: x:A 
B[x],
spreadn: spread4,
eclass: EClass(A[eo; e]),
subtype_rel: A 
r B,
uimplies: b supposing a,
subtype: S T,
fpf: a:A fp-> B[a],
set: {x:A| B[x]} ,
valueall-type: valueall-type(T),
union: left + right,
unit: Unit,
bag: bag(T),
spread: spread def,
pair: <a, b>,
lambda: 
x.A[x],
evalall: evalall(t),
apply: f a,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
ifthenelse: if b then t else f fi ,
bag-null: bag-null(bs),
inl: inl x ,
inr: inr x ,
it: 
,
l_member: (x l),
sq_type: SQType(T),
implies: P 
Q,
guard: {T},
es-E-interface: E(X),
uiff: uiff(P;Q),
and: P 
Q,
less_than: a < b,
not: 
A,
ge: i 
j ,
le: A 
B,
strong-subtype: strong-subtype(A;B),
list: type List,
so_lambda: 
x.t[x],
prop: 
,
quotient: x,y:A//B[x; y],
permutation: permutation(T;L1;L2),
sq_stable: SqStable(P),
squash: 
T,
classrel: v X(e),
fpf-sub: f g,
modulus-of-ccontinuity: modulus-of-ccontinuity(omega;I;f),
partitions: partitions(I;p),
i-member: r I,
rleq: x y,
rnonneg: rnonneg(r),
req: x = y,
bag-member: bag-member(T;x;bs),
is_accum_splitting: is_accum_splitting(T;A;L;LL;L2;f;g;x),
is_list_splitting: is_list_splitting(T;L;LL;L2;f),
assert: 
b,
true: True,
b-union: A 
B,
tunion: x:A.B[x],
rec: rec(x.A[x]),
atom: Atom,
int: 
,
atom: Atom$n,
natural_number: $n
Lemmas :
bag-valueall-type,
equal-valueall-type,
union-valueall-type,
product-valueall-type,
sq_stable__valueall-type,
permutation_wf,
set_subtype_base,
subtype_base_sq,
subtype_rel_wf,
bag-null_wf,
it_wf,
dataflow-program_wf,
member_wf,
valueall-type_wf,
evalall_wf,
bag_wf,
unit_wf,
ifthenelse_wf
\mforall{}[A:Type]. \mforall{}[dfp:DataflowProgram(A)]. (once-prog(dfp) \mmember{} DataflowProgram(A))
Date html generated:
2011_08_16-PM-06_17_21
Last ObjectModification:
2011_06_19-PM-07_35_25
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