{ 
[Info:Type]. [es:EO+(Info)]. [A,T:Type]. [X:EClass(A)]. [base:T].
[f:T 
A T]. [e:E].
(prior-state(f;base;X;e) = list_accum(x,a.f x a;base;X(<e))) }
{ Proof }
Definitions occuring in Statement :
es-local-prior-state: prior-state(f;base;X;e),
es-prior-interface-vals: X(<e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: [x:A]. B[x],
apply: f a,
function: x:A B[x],
universe: Type,
equal: s = t,
list_accum: list_accum(x,a.f[x; a];y;l)
Definitions :
uall: [x:A]. B[x],
es-local-prior-state: prior-state(f;base;X;e),
list_accum: list_accum(x,a.f[x; a];y;l),
member: t 
T,
all: x:A. B[x],
nat: 
,
implies: P 
Q,
ge: i 
j ,
le: A 
B,
not: 
A,
false: False,
prop: 
,
squash: 
T,
true: True,
so_lambda: 
x y.t[x; y],
ycomb: Y,
top: Top,
rev_implies: P 
Q,
iff: P Q,
and: P 
Q,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
es-E-interface: E(X),
strongwellfounded: SWellFounded(R[x; y]),
exists: 
x:A. B[x],
so_apply: x[s1;s2],
uimplies: b supposing a,
bool: 
,
unit: Unit,
subtype: S 
T,
it: 
,
guard: {T}
Lemmas :
es-causl-swellfnd,
nat_properties,
ge_wf,
nat_wf,
le_wf,
es-causl_wf,
es-E_wf,
eclass_wf,
event-ordering+_wf,
event-ordering+_inc,
es-local-prior-state_wf,
in-eclass_wf,
es-prior-interface_wf,
es-interface-top,
es-E-interface_wf,
es-interface-subtype_rel2,
top_wf,
bool_wf,
assert_wf,
not_wf,
bnot_wf,
list_accum_wf,
squash_wf,
true_wf,
es-prior-interface-vals-property,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
list_accum_append,
es-prior-interface-vals_wf,
eclass-val_wf2,
subtype_rel_list,
es-interface-val_wf2,
es-prior-interface-causl
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,T:Type]. \mforall{}[X:EClass(A)]. \mforall{}[base:T]. \mforall{}[f:T {}\mrightarrow{} A {}\mrightarrow{} T]. \mforall{}[e:E].
(prior-state(f;base;X;e) = list\_accum(x,a.f x a;base;X(<e)))
Date html generated:
2011_08_16-PM-05_34_36
Last ObjectModification:
2011_06_20-AM-01_27_29
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