{ 
[Info,T:Type]. [X:EClass(T)]. [b:Id 
bag(T)]. [es:EO+(Info)]. [v:T].
[e:E].
uiff(v 
Prior(X)?b(e);
e'<e.v X(e')
e''<e.w:T. (w X(e'') 
e'' 
loc e' )
(bag-member(T;v;b loc(e)) e'<e.w:T. (
w X(e')))) }
{ Proof }
Definitions occuring in Statement :
primed-class-opt: Prior(X)?b,
classrel: v X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
alle-lt: e<e'.P[e],
existse-before: e<e'.P[e],
es-le: e loc e' ,
es-loc: loc(e),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
all: x:A. B[x],
not: A,
squash: T,
implies: P Q,
or: P Q,
and: P Q,
apply: f a,
function: x:A B[x],
universe: Type,
bag-member: bag-member(T;x;bs),
bag: bag(T)
Lemmas :
empty-bag-iff-no-member,
subtype_base_sq,
es-causle_antisymmetry,
es-causle_weakening_locl,
es-causle-le,
sq_stable__bag-member,
false_wf,
ifthenelse_wf,
true_wf,
bag-member-iff-size,
assert_of_lt_int,
decidable__es-le,
es-causl_wf,
decidable__es-locl,
es-le-not-locl,
not_wf,
assert_wf,
es-local-pred_wf,
squash_wf,
bag-member_wf,
alle-lt_wf,
classrel_wf,
existse-before_wf,
es-le_wf,
event-ordering+_wf,
event-ordering+_inc,
es-E_wf,
eclass_wf,
bag_wf,
Id_wf,
es-loc_wf,
primed-class-opt_wf,
es-locl_wf,
lt_int_wf,
bag-size_wf,
nat_wf,
member_wf,
bool_wf,
es-base-E_wf,
subtype_rel_self,
sq_stable__classrel
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[b:Id {}\mrightarrow{} bag(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[v:T]. \mforall{}[e:E].
uiff(v \mmember{} Prior(X)?b(e);\mdownarrow{}\mexists{}e'<e.v \mmember{} X(e') \mwedge{} \mforall{}e''<e.\mforall{}w:T. (w \mmember{} X(e'') {}\mRightarrow{} e'' \mleq{}loc e' )
\mvee{} (bag-member(T;v;b loc(e)) \mwedge{} \mforall{}e'<e.\mforall{}w:T. (\mneg{}w \mmember{} X(e'))))
Date html generated:
2011_08_16-PM-05_04_39
Last ObjectModification:
2011_07_22-PM-11_44_40
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