{ 
[Info:Type]. [es:EO+(Info)]. [A:Type]. [X:EClass(A List)]. [e:E].
es-interface-history(es;X;e)
= if e 
X
then es-interface-history(es;X;pred(e)) @ X(e)
else es-interface-history(es;X;pred(e))
fi
supposing 
first(e) }
{ Proof }
Definitions occuring in Statement :
es-interface-history: es-interface-history(es;X;e),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-pred: pred(e),
es-first: first(e),
es-E: E,
append: as @ bs,
assert: b,
ifthenelse: if b then t else f fi ,
uimplies: b supposing a,
uall: [x:A]. B[x],
not: A,
list: type List,
universe: Type,
equal: s = t
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
assert: b,
es-interface-history: es-interface-history(es;X;e),
ifthenelse: if b then t else f fi ,
member: t T,
es-le-before: 
loc(e),
top: Top,
prop: 
,
so_lambda: 
x y.t[x; y],
all: x:A. B[x],
subtype: S 
T,
btrue: tt,
true: True,
es-before: before(e),
ycomb: Y,
implies: P 
Q,
bfalse: ff,
concat: concat(ll),
mapfilter: mapfilter(f;P;L),
map: map(f;as),
filter: filter(P;l),
reduce: reduce(f;k;as),
squash: 
T,
so_apply: x[s1;s2],
sq_type: SQType(T),
guard: {T},
not: A,
false: False,
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
it: 
Lemmas :
mapfilter-append,
es-before_wf,
top_wf,
in-eclass_wf,
es-interface-top,
l_member_wf,
concat_append,
mapfilter_wf,
es-E_wf,
eclass-val_wf,
event-ordering+_inc,
event-ordering+_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_wf,
not_wf,
es-first_wf,
eclass_wf,
assert_elim,
bnot_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
append_wf,
squash_wf,
true_wf,
concat_wf,
append_nil_sq,
subtype_rel_list
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X:EClass(A List)]. \mforall{}[e:E].
es-interface-history(es;X;e)
= if e \mmember{}\msubb{} X
then es-interface-history(es;X;pred(e)) @ X(e)
else es-interface-history(es;X;pred(e))
fi
supposing \mneg{}\muparrow{}first(e)
Date html generated:
2011_08_16-PM-04_32_25
Last ObjectModification:
2011_06_20-AM-00_54_06
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