Nuprl Lemma : es-interface-accum-val
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [b,f:Top]. [e:E].
es-interface-accum(f;b;X)(e) ~ list_accum(b,e.f b X(e);b;
(X)(e)) supposing 
e 
es-interface-accum(f;b;X)
Proof not projected
Definitions occuring in Statement :
es-interface-accum: es-interface-accum(f;x;X),
es-interface-predecessors: (X)(e),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
apply: f a,
universe: Type,
sqequal: s ~ t,
list_accum: list_accum(x,a.f[x; a];y;l)
Definitions :
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
top: Top,
uimplies: b supposing a,
assert: b,
in-eclass: e X,
es-interface-accum: es-interface-accum(f;x;X),
eclass-val: X(e),
eq_int: (i =
j),
ifthenelse: if b then t else f fi ,
member: t T,
implies: P 
Q,
all: x:A. B[x],
btrue: tt,
bfalse: ff,
guard: {T},
so_lambda: 
x y.t[x; y],
bool: 
,
unit: Unit,
uiff: uiff(P;Q),
and: P 
Q,
false: False,
nat: 
,
so_apply: x[s1;s2],
es-E-interface: E(X),
it: 
,
prop: 
,
subtype: S 
T
Lemmas :
bool_wf,
uiff_transitivity,
equal_wf,
assert_wf,
eqtt_to_assert,
assert_of_eq_int,
true_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
not_functionality_wrt_uiff,
false_wf,
eq_int_wf,
bag-size_wf,
top_wf,
ifthenelse_wf,
nat_wf,
bag_wf,
single-bag_wf,
list_accum_wf,
es-E-interface_wf,
Id_wf,
es-loc_wf,
event-ordering+_inc,
es-interface-predecessors_wf,
empty-bag_wf,
es-E_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[b,f:Top]. \mforall{}[e:E].
es-interface-accum(f;b;X)(e) \msim{} list\_accum(b,e.f b X(e);b;\mleq{}(X)(e))
supposing \muparrow{}e \mmember{}\msubb{} es-interface-accum(f;b;X)
Date html generated:
2012_01_23-PM-12_26_12
Last ObjectModification:
2011_12_19-PM-04_38_20
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