{ 
[Info:Type]. [es:EO+(Info)]. [A:Type]. [X:EClass(A List)]. [e:E(X)].
(es-interface-history(es;X;e)
= if e 
prior(X)
then es-interface-history(es;X;prior(X)(e)) @ X(e)
else X(e)
fi ) }
{ Proof }
Definitions occuring in Statement :
es-prior-interface: prior(X),
es-interface-history: es-interface-history(es;X;e),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
append: as @ bs,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
list: type List,
universe: Type,
equal: s = t
Definitions :
uall: [x:A]. B[x],
es-interface-history: es-interface-history(es;X;e),
member: t T,
top: Top,
so_lambda: 
x y.t[x; y],
all: x:A. B[x],
implies: P 
Q,
prop: 
,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
es-E-interface: E(X),
exists: 
x:A. B[x],
cand: A c
B,
not: 
A,
and: P Q,
false: False,
assert: 
b,
subtype: S 
T,
true: True,
squash: 
T,
mapfilter: mapfilter(f;P;L),
map: map(f;as),
ycomb: Y,
es-le: e 
loc e' ,
or: P 
Q,
guard: {T},
l_all: (xL.P[x]),
so_apply: x[s],
rev_implies: P 
Q,
iff: P Q,
so_lambda: x.t[x],
append: as @ bs,
filter: filter(P;l),
reduce: reduce(f;k;as),
concat: concat(ll),
es-le-before: loc(e),
so_apply: x[s1;s2],
uimplies: b supposing a,
bool: 
,
unit: Unit,
sq_type: SQType(T),
it: 
,
es-interface-sublist: es-interface-sublist(X;z)
Lemmas :
es-E-interface_wf,
eclass_wf,
es-E_wf,
event-ordering+_wf,
event-ordering+_inc,
in-eclass_wf,
es-prior-interface_wf,
es-interface-subtype_rel2,
top_wf,
bool_wf,
assert_wf,
not_wf,
bnot_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
es-next,
es-interface-top,
eclass-val_wf2,
es-prior-interface-locl,
es-first_wf,
es-le_wf,
es-pred_wf,
es-le-before-partition2,
length_wf_nat,
es-le-before_wf,
Id_wf,
es-loc_wf,
nat_wf,
concat_wf,
mapfilter_wf,
eclass-val_wf,
subtype_base_sq,
bool_subtype_base,
append_wf,
member_wf,
assert_elim,
mapfilter-append,
es-interval_wf2,
l_member_wf,
concat_append,
es-interval_wf,
squash_wf,
true_wf,
map_wf,
es-locl_wf,
es-interval-partition,
filter_append,
false_wf,
es-locl-first,
filter_is_nil,
all_functionality_wrt_iff,
implies_functionality_wrt_iff,
member-es-interval,
es-prior-interface-val,
es-pred-locl,
es-locl_transitivity1,
es-locl-iff,
not_assert_elim,
es-locl_transitivity2,
es-interval-eq,
ifthenelse_wf,
es-interface-sublist_wf,
es-interval-eq2,
append-nil,
es-before_wf,
member-es-before,
es-is-prior-interface,
btrue_neq_bfalse
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X:EClass(A List)]. \mforall{}[e:E(X)].
(es-interface-history(es;X;e)
= if e \mmember{}\msubb{} prior(X) then es-interface-history(es;X;prior(X)(e)) @ X(e) else X(e) fi )
Date html generated:
2011_08_16-PM-05_15_47
Last ObjectModification:
2011_06_20-AM-01_18_04
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