Nuprl Lemma : Accum-class-prc_wf
B:{B:
'| valueall-type(B)}
[A:']
f:A 
B B. init:Id bag(B).
[X:EClass'(A)]
Xpr:NormalLProgrammable'(A;X). (Accum-class-prc(B;f;init;Xpr) 
NormalLProgrammable'(B;Accum-class(f;init;X)))
Proof not projected
Definitions occuring in Statement :
Accum-class-prc: Accum-class-prc(B;f;init;X),
Accum-class: Accum-class(f;init;X),
Message: Message,
normal-locally-programmable: NormalLProgrammable(A;X),
eclass: EClass(A[eo; e]),
Id: Id,
uall: [x:A]. B[x],
all: x:A. B[x],
member: t T,
set: {x:A| B[x]} ,
function: x:A B[x],
universe: Type,
bag: bag(T),
valueall-type: valueall-type(T)
Definitions :
all: x:A. B[x],
uall: [x:A]. B[x],
bag: bag(T),
eclass: EClass(A[eo; e]),
member: t T,
Accum-class-prc: Accum-class-prc(B;f;init;X),
length: ||as||,
select-tuple: x.n,
feedback-df-program-case1: feedback-df-program-case1(B;F;dfps;init),
lifting-2: lifting-2(f),
map: map(f;as),
upto: upto(n),
Accum-class-locally-programmable,
rec-combined-class-opt-1-nlp,
rec-comb-locally-programmable1,
feedback-prog: feedback-prog,
bl-all: (xL.P[x])_b,
bnot: 
b,
isl: isl(x),
ycomb: Y,
ifthenelse: if b then t else f fi ,
lt_int: i <z j,
from-upto: [n, m),
btrue: tt,
bfalse: ff,
tuple-type: tuple-type(L),
df-program-statetype: df-program-statetype(dfp),
unit: Unit,
tuple: tuple(n;i.F[i]),
df-program-state: df-program-state(dfp),
select: l[i],
spreadn: spread4,
empty-bag: {},
it: 
,
ap2-tuple: ap2-tuple(len;f;x;t),
map-tuple: map-tuple(len;f;t),
pi2: snd(t),
evalall: evalall(t),
pi1: fst(t),
null: null(as),
decidable__equal_int,
permutation: permutation(T;L1;L2),
int_seg: {i..j
},
and: P 
Q,
inject: Inj(A;B;f),
permute_list: (L o f),
exists: 
x:A. B[x],
lelt: i 
j < k,
le: A B,
false: False,
not: A,
implies: P 
Q,
append: as @ bs,
mklist: mklist(n;f),
le_int: i z j,
band: p q,
reduce: reduce(f;k;as),
eq_int: (i =
j),
lifting2: lifting2(f;abag;bbag),
lifting-gen-rev: lifting-gen-rev(n;f;bags),
prop: 
,
so_lambda: 
x.t[x],
label: ...$L... t,
so_apply: x[s],
spreadn: spread3,
subtype: S 
T
Lemmas :
all_wf,
valueall-type_wf,
uall_wf,
Id_wf,
bag_wf,
event-ordering+_wf,
Message_wf,
es-E_wf,
event-ordering+_inc,
implies-wf,
normal-locally-programmable_wf,
Accum-class_wf,
equal_wf,
eclass_wf2
\mforall{}B:\{B:\mBbbU{}'| valueall-type(B)\}
\mforall{}[A:\mBbbU{}']
\mforall{}f:A {}\mrightarrow{} B {}\mrightarrow{} B. \mforall{}init:Id {}\mrightarrow{} bag(B).
\mforall{}[X:EClass'(A)]
\mforall{}Xpr:NormalLProgrammable'(A;X)
(Accum-class-prc(B;f;init;Xpr) \mmember{} NormalLProgrammable'(B;Accum-class(f;init;X)))
Date html generated:
2012_01_23-PM-01_05_59
Last ObjectModification:
2011_11_04-AM-00_23_44
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