{ 
[A,B:
'].
C:{C:'| valueall-type(C)} . F:bag(A) 
bag(B) bag(C).
[X:EClass(A)]. [Y:EClass(B)].
(((
(as:bag(A). (F[as;{}] = {})) 
(bs:bag(B). (F[{};bs] = {})))
(F[{};{}] = {}))
NormalLProgrammable'(A;X)
NormalLProgrammable'(B;Y)
NormalLProgrammable'(C;
a,b.F[a;b]|X;Y|)) }
{ Proof }
Definitions occuring in Statement :
Message: Message,
normal-locally-programmable: NormalLProgrammable(A;X),
simple-comb2: x,y.F[x; y]|X;Y|,
eclass: EClass(A[eo; e]),
uall: [x:A]. B[x],
so_apply: x[s1;s2],
all: x:A. B[x],
squash: T,
implies: P Q,
or: P Q,
and: P Q,
set: {x:A| B[x]} ,
function: x:A B[x],
universe: Type,
equal: s = t,
empty-bag: {},
bag: bag(T),
valueall-type: valueall-type(T)
Lemmas :
simple-comb-locally-programmable1,
pos_length2,
sq_stable__equal,
sq_stable__and,
int_subtype_base,
subtype_base_sq,
decidable__equal_int,
top_wf,
simple-comb-locally-programmable2,
subtype_rel_wf,
Message-inhabited,
nat_wf,
not_wf,
false_wf,
le_wf,
int_seg_wf,
select_wf,
length_wf_nat,
length_nil,
length_cons,
non_neg_length,
int_seg_properties,
length_wf1,
event-ordering+_inc,
event-ordering+_wf,
es-E_wf,
sq_stable_from_decidable,
sq_stable__uall,
sq_stable__all,
uall_wf,
member_wf,
eclass_wf2,
eclass_wf3,
empty-bag_wf,
valueall-type_wf,
eclass_wf,
squash_wf,
bag_wf,
normal-locally-programmable_wf,
simple-comb2_wf,
local-program-at_wf,
Id_wf,
Message_wf,
dataflow-program_wf
\mforall{}[A,B:\mBbbU{}'].
\mforall{}C:\{C:\mBbbU{}'| valueall-type(C)\} . \mforall{}F:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C).
\mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(((\mdownarrow{}(\mforall{}as:bag(A). (F[as;\{\}] = \{\})) \mwedge{} (\mforall{}bs:bag(B). (F[\{\};bs] = \{\}))) \mvee{} (F[\{\};\{\}] = \{\}))
{}\mRightarrow{} NormalLProgrammable'(A;X)
{}\mRightarrow{} NormalLProgrammable'(B;Y)
{}\mRightarrow{} NormalLProgrammable'(C;\mlambda{}a,b.F[a;b]|X;Y|))
Date html generated:
2011_08_17-PM-04_09_16
Last ObjectModification:
2011_06_29-PM-09_23_34
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