Nuprl Lemma : bind-comb-program_wf
[Info:Type]. [B:{T:Type| valueall-type(T)} ]. [PX:eclass-program{i:l}(Info)].
[PY:eclass-program-type(PX) 
eclass-program{i:l}(Info)].
bind-comb-program(B;PX;PY) 
eclass-program{i:l}(Info)
supposing a:eclass-program-type(PX). (eclass-program-type(PY a) 
r B)
Proof not projected
Definitions occuring in Statement :
bind-comb-program: bind-comb-program(B;PX;PY),
eclass-program-type: eclass-program-type(prg),
eclass-program: eclass-program{i:l}(Info),
subtype_rel: A r B,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
member: t T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
universe: Type,
valueall-type: valueall-type(T)
Definitions :
uall: [x:A]. B[x],
eclass-program: eclass-program{i:l}(Info),
uimplies: b supposing a,
all: x:A. B[x],
member: t T,
bind-comb-program: bind-comb-program(B;PX;PY),
fpf: a:A fp-> B[a],
spreadn: spread3,
and: P 
Q,
prop: 
,
so_lambda: 
x.t[x],
squash: 
T,
true: True,
ifthenelse: if b then t else f fi ,
implies: P 
Q,
btrue: tt,
bfalse: ff,
dataflow-program: DataflowProgram(A),
null-df-program: null-df-program(B),
unit: Unit,
df-program-type: df-program-type(dfp),
pi1: fst(t),
bind-df-program: bind-df-program,
spreadn: spread4,
so_apply: x[s],
sq_stable: SqStable(P),
eclass-program-type: eclass-program-type(prg),
bool: 
,
iff: P 
Q,
guard: {T},
it: 
Lemmas :
bind-df-program_wf,
dataflow-program_wf,
df-program-type_wf,
Id_wf,
l_member_wf,
all_wf,
eclass-program-type_wf,
valueall-type_wf,
subtype_rel_wf,
eclass-program_wf,
sq_stable__valueall-type,
fpf_wf,
deq-member_wf,
id-deq_wf,
bool_wf,
iff_transitivity,
equal_wf,
assert_wf,
iff_weakening_uiff,
eqtt_to_assert,
assert-deq-member,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_iff,
unit_wf2,
equal-valueall-type,
it_wf,
empty-bag_wf,
bag_wf,
sq_stable__subtype_rel,
subtype_rel_weakening,
ext-eq_weakening,
subtype_rel_self,
and_wf
\mforall{}[Info:Type]. \mforall{}[B:\{T:Type| valueall-type(T)\} ]. \mforall{}[PX:eclass-program\{i:l\}(Info)].
\mforall{}[PY:eclass-program-type(PX) {}\mrightarrow{} eclass-program\{i:l\}(Info)].
bind-comb-program(B;PX;PY) \mmember{} eclass-program\{i:l\}(Info)
supposing \mforall{}a:eclass-program-type(PX). (eclass-program-type(PY a) \msubseteq{}r B)
Date html generated:
2012_01_23-PM-12_35_46
Last ObjectModification:
2011_12_20-PM-12_45_55
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