{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [b:Top]. [e:E].
(Prior(X)?b es e ~ if first(e) then b loc(e)
if 0 <z bag-size(X es pred(e)) then X es pred(e)
else Prior(X)?b es pred(e)
fi ) }
{ Proof }
Definitions occuring in Statement :
primed-class-opt: Prior(X)?b,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-pred: pred(e),
es-first: first(e),
es-loc: loc(e),
es-E: E,
lt_int: i <z j,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
top: Top,
apply: f a,
natural_number: $n,
universe: Type,
sqequal: s ~ t,
bag-size: bag-size(bs)
Lemmas :
es-E_wf,
nat_wf,
ge_wf,
nat_properties,
event-ordering+_inc,
es-causl-swellfnd,
event-ordering+_wf,
top_wf,
eclass_wf,
subtype_base_sq,
bag_wf,
primed-class-opt_wf,
le_wf,
member_wf,
es-causl_wf,
bool_wf,
eqtt_to_assert,
assert_wf,
not_wf,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
bnot_wf,
es-first_wf,
es-local-pred_wf,
es-locl_wf,
ifthenelse_wf,
assert_of_lt_int,
bag-size_wf,
es-pred_wf,
assert_functionality_wrt_uiff,
bnot_of_lt_int,
assert_of_le_int,
le_int_wf,
lt_int_wf,
es-loc_wf,
Id_wf,
atom2_subtype_base,
es-loc-pred,
es-base-E_wf,
subtype_rel_self
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[b:Top]. \mforall{}[e:E].
(Prior(X)?b es e \msim{} if first(e) then b loc(e)
if 0 <z bag-size(X es pred(e)) then X es pred(e)
else Prior(X)?b es pred(e)
fi )
Date html generated:
2011_08_16-PM-05_03_50
Last ObjectModification:
2011_07_22-PM-11_35_10
Home
Index