{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [e:E].
(
(X)(e) ~ if e 
X then if first(e) then [e] else (X)(pred(e)) @ [e] fi
if first(e) then []
else (X)(pred(e))
fi ) }
{ Proof }
Definitions occuring in Statement :
es-interface-predecessors: (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,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
top: Top,
cons: [car / cdr],
nil: [],
universe: Type,
sqequal: s ~ t
Definitions :
member: t T,
so_lambda: 
x y.t[x; y],
es-interface-predecessors: (X)(e),
append: as @ bs,
eclass-events: eclass-events(es;X;L),
es-le-before: loc(e),
filter: filter(P;l),
es-before: before(e),
ycomb: Y,
prop: 
,
reduce: reduce(f;k;as),
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
bfalse: ff,
top: Top,
uall: [x:A]. B[x],
so_apply: x[s1;s2],
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
uimplies: b supposing a,
subtype: S 
T,
it: 
Lemmas :
es-E_wf,
event-ordering+_inc,
eclass_wf,
top_wf,
event-ordering+_wf,
es-first_wf,
bool_wf,
assert_wf,
not_wf,
bnot_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
in-eclass_wf,
append_wf,
es-before_wf,
es-pred_wf,
append-nil,
filter_wf_top,
l_member_wf,
ifthenelse_wf,
filter_append_sq
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
(\mleq{}(X)(e) \msim{} if e \mmember{}\msubb{} X then if first(e) then [e] else \mleq{}(X)(pred(e)) @ [e] fi
if first(e) then []
else \mleq{}(X)(pred(e))
fi )
Date html generated:
2011_08_16-PM-04_33_20
Last ObjectModification:
2011_06_20-AM-00_55_04
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