Nuprl Lemma : bind-nextouts1_wf
[M,A,B:Type]. [dfpY:A 
DataflowProgram(M)]. [L:bag(a:A 
(df-program-statetype(dfpY a)?))]. [m:M].
bind-nextouts1(L;dfpY;m) 
bag(a:A (df-program-statetype(dfpY a)?) bag(B))
supposing a:A. (df-program-type(dfpY a) 
r B)
Proof not projected
Definitions occuring in Statement :
bind-nextouts1: bind-nextouts1(L;dfpY;m),
df-program-statetype: df-program-statetype(dfp),
df-program-type: df-program-type(dfp),
dataflow-program: DataflowProgram(A),
subtype_rel: A r B,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
unit: Unit,
member: t T,
apply: f a,
function: x:A B[x],
product: x:A B[x],
union: left + right,
universe: Type,
bag: bag(T)
Definitions :
so_lambda: 
x.t[x],
prop: 
,
implies: P 
Q,
bind-nextouts1: bind-nextouts1(L;dfpY;m),
member: t T,
all: x:A. B[x],
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s]
Lemmas :
dataflow-program_wf,
subtype_rel_wf,
all_wf,
empty-bag_wf,
subtype_rel_bag,
df-program-type_wf,
df-program-in-state-ap_wf,
bag_wf,
unit_wf2,
df-program-statetype_wf,
bag-map_wf
\mforall{}[M,A,B:Type]. \mforall{}[dfpY:A {}\mrightarrow{} DataflowProgram(M)]. \mforall{}[L:bag(a:A \mtimes{} (df-program-statetype(dfpY a)?))].
\mforall{}[m:M].
bind-nextouts1(L;dfpY;m) \mmember{} bag(a:A \mtimes{} (df-program-statetype(dfpY a)?) \mtimes{} bag(B))
supposing \mforall{}a:A. (df-program-type(dfpY a) \msubseteq{}r B)
Date html generated:
2012_01_23-PM-12_01_13
Last ObjectModification:
2011_12_16-PM-06_22_52
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