Nuprl Lemma : State-comb-top
[Info,A:Type]. [es:EO+(Info)]. [f:Top]. [X:EClass(A)]. [init:Id 
bag(Top)]. (State-comb(init;f;X) 
EClass(Top))
Proof not projected
Definitions occuring in Statement :
State-comb: State-comb(init;f;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,
State-comb: State-comb(init;f;X),
ifthenelse: if b then t else f fi ,
lifting-2: lifting-2(f),
btrue: tt,
bfalse: ff,
bnot: 
b,
lifting2: lifting2(f;abag;bbag),
lifting-gen-rev: lifting-gen-rev(n;f;bags),
select: l[i],
lifting-gen-list-rev: lifting-gen-list-rev(n;bags),
ycomb: Y,
eq_int: (i =
j),
le_int: i 
z j,
lt_int: i <z j,
so_lambda: 
x.t[x],
so_lambda: x y.t[x; y],
all: x:A. B[x],
implies: P 
Q,
guard: {T},
uall: [x:A]. B[x],
so_apply: x[s],
so_apply: x[s1;s2],
bool: 
,
unit: Unit,
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P 
Q,
subtype: S 
T,
it: 
Lemmas :
rec-combined-class-opt-1_wf,
bag-null_wf,
bool_wf,
equal_wf,
assert_wf,
bag_wf,
empty-bag_wf,
bnot_wf,
not_wf,
bag-combine_wf,
single-bag_wf,
Id_wf,
top_wf,
eclass_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
uiff_transitivity,
eqtt_to_assert,
assert-bag-null,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_uiff
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Top]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(Top)].
(State-comb(init;f;X) \mmember{} EClass(Top))
Date html generated:
2012_02_20-PM-03_08_38
Last ObjectModification:
2012_02_17-AM-00_28_28
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