{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [e:E].
(
(X)(e)
= (if e 
prior(X) then (X)(prior(X)(e)) else [] fi
@ if e X then [e] else [] fi )) }
{ Proof }
Definitions occuring in Statement :
es-prior-interface: prior(X),
es-interface-predecessors: (X)(e),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
append: as @ bs,
ifthenelse: if b then t else f fi ,
uall: [x:A]. B[x],
top: Top,
set: {x:A| B[x]} ,
cons: [car / cdr],
nil: [],
list: type List,
universe: Type,
equal: s = t
Definitions :
member: t T,
so_lambda: 
x y.t[x; y],
all: x:A. B[x],
top: Top,
false: False,
implies: P 
Q,
so_apply: x[s],
l_all: (xL.P[x]),
not: 
A,
prop: 
,
cand: A c
B,
and: P Q,
exists: 
x:A. B[x],
uall: [x:A]. B[x],
so_apply: x[s1;s2],
uimplies: b supposing a,
iff: P 
Q,
rev_implies: P Q,
subtype: S 
T
Lemmas :
es-interface-predecessors-loc,
top_wf,
event-ordering+_wf,
event-ordering+_inc,
es-E_wf,
es-E-interface_wf,
es-interface-subtype_rel2,
es-prior-interface_wf,
in-eclass_wf,
es-is-prior-interface-pred,
es-before_wf,
filter_is_nil,
l_member_wf,
assert_wf,
is-prior-interface,
es-locl_wf,
member-es-before
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
(\mleq{}(X)(e) = (if e \mmember{}\msubb{} prior(X) then \mleq{}(X)(prior(X)(e)) else [] fi @ if e \mmember{}\msubb{} X then [e] else [] fi ))
Date html generated:
2011_08_16-PM-05_16_11
Last ObjectModification:
2011_06_20-AM-01_18_27
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