Nuprl Lemma : Accum-class-top
[Info,A:Type]. [es:EO+(Info)]. [f:Top]. [X:EClass(A)]. [init:Id 
bag(Top)].
(Accum-class(f;init;X) 
EClass(Top))
Proof not projected
Definitions occuring in Statement :
Accum-class: Accum-class(f;init;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: [x:A]. B[x],
top: Top,
member: t T,
function: x:A B[x],
universe: Type,
bag: bag(T)
Definitions :
top: Top,
member: t T,
Accum-class: Accum-class(f;init;X),
rec-combined-class-opt-1: F|X,Prior(self)?init|,
lifting-2: lifting-2(f),
select: l[i],
nat: 
,
int_seg: {i..j
},
le: A 
B,
not: 
A,
implies: P 
Q,
false: False,
length: ||as||,
so_lambda: 
x y.t[x; y],
lelt: i j < k,
and: P 
Q,
ycomb: Y,
lifting2: lifting2(f;abag;bbag),
lifting-gen-rev: lifting-gen-rev(n;f;bags),
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
ifthenelse: if b then t else f fi ,
eq_int: (i =
j),
btrue: tt,
bfalse: ff,
le_int: i z j,
bnot: 
b,
lt_int: i <z j,
so_lambda: x.t[x],
uall: [x:A]. B[x],
prop: 
,
uimplies: b supposing a,
so_apply: x[s1;s2],
all: x:A. B[x],
so_apply: x[s],
subtype: S 
T
Lemmas :
rec-comb_wf,
le_wf,
int_seg_wf,
select_wf,
eclass_wf,
es-E_wf,
event-ordering+_inc,
bag-combine_wf,
lelt_wf,
single-bag_wf,
bag_wf,
Id_wf,
top_wf,
event-ordering+_wf
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Top]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(Top)].
(Accum-class(f;init;X) \mmember{} EClass(Top))
Date html generated:
2012_02_20-PM-02_53_05
Last ObjectModification:
2012_02_16-PM-05_47_32
Home
Index