Nuprl Lemma : Accum-class-es-sv
[Info,A:Type]. [es:EO+(Info)]. [X:EClass(A)]. [init:Id 
bag(Top)]. [f:Top].
(es-sv-class(es;Accum-class(f;init;X))) supposing ((l:Id. (bag-size(init l) 
1)) and es-sv-class(es;X))
Proof not projected
Definitions occuring in Statement :
Accum-class: Accum-class(f;init;X),
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
le: A B,
all: x:A. B[x],
apply: f a,
function: x:A B[x],
natural_number: $n,
universe: Type,
bag-size: bag-size(bs),
bag: bag(T)
Definitions :
so_lambda: 
x.t[x],
label: ...$L... t,
ge: i 
j ,
and: P 
Q,
lelt: i j < k,
so_lambda: x y.t[x; y],
length: ||as||,
implies: P 
Q,
not: 
A,
int_seg: {i..j
},
lt_int: i <z j,
bnot: 
b,
le_int: i z j,
bfalse: ff,
btrue: tt,
eq_int: (i =
j),
ifthenelse: if b then t else f fi ,
ycomb: Y,
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
lifting-gen-rev: lifting-gen-rev(n;f;bags),
lifting2: lifting2(f;abag;bbag),
select: l[i],
nat: 
,
false: False,
member: t 
T,
lifting-2: lifting-2(f),
rec-combined-class-opt-1: F|X,Prior(self)?init|,
Accum-class: Accum-class(f;init;X),
le: A B,
top: Top,
so_apply: x[s],
so_apply: x[s1;s2],
prop: 
,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
subtype: S 
T,
eclass: EClass(A[eo; e])
Lemmas :
es-sv-class_wf,
all_wf,
nat_wf,
Id_wf,
bag_wf,
single-bag_wf,
lelt_wf,
bag-combine_wf,
length_wf_nat,
non_neg_length,
length_cons,
length_wf_nil,
length_nil,
length_wf,
es-interface-top,
event-ordering+_wf,
event-ordering+_inc,
es-E_wf,
eclass_wf,
select_wf,
int_seg_wf,
le_wf,
rec-comb_wf,
top_wf,
bag-size_wf,
rec-combined-class-opt-1-es-sv
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(Top)]. \mforall{}[f:Top].
(es-sv-class(es;Accum-class(f;init;X))) supposing
((\mforall{}l:Id. (bag-size(init l) \mleq{} 1)) and
es-sv-class(es;X))
Date html generated:
2012_02_20-PM-02_59_32
Last ObjectModification:
2012_02_07-PM-01_21_08
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