{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [f:sys-antecedent(es;X)].
[c:Cut(X;f)]. [a,e:E(X)].
(e 
c) supposing (e 
loc a and a c) }
{ Proof }
Definitions occuring in Statement :
es-cut: Cut(X;f),
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e loc e' ,
es-eq: es-eq(es),
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
universe: Type,
fset-member: a s
Definitions :
fset-filter: {x s | P[x]},
fset-singleton: {x},
fset-intersection: a 
b,
fset-union: x 
y,
fset-remove: fset-remove(eq;y;s),
fset-add: fset-add(eq;x;s),
es-locl: (e <loc e'),
strong-subtype: strong-subtype(A;B),
or: P 
Q,
tl: tl(l),
hd: hd(l),
l_all: (xL.P[x]),
fset-closed: (s closed under fs),
le: A B,
ge: i 
j ,
not: 
A,
less_than: a < b,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
deq-member: deq-member(eq;x;L),
implies: P 
Q,
void: Void,
false: False,
true: True,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
es-eq: es-eq(es),
es-le: e loc e' ,
prop: 
,
fset: FSet{T},
fset-member: a s,
uimplies: b supposing a,
assert: 
b,
es-E-interface: E(X),
set: {x:A| B[x]} ,
es-cut: Cut(X;f),
union: left + right,
sys-antecedent: sys-antecedent(es;Sys),
subtype: S 
T,
subtype_rel: A r B,
atom: Atom,
apply: f a,
token: "$token",
ifthenelse: if b then t else f fi ,
record-select: r.x,
top: Top,
event_ordering: EO,
es-E: E,
lambda: 
x.A[x],
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record+: record+,
all: x:A. B[x],
function: x:A 
B[x],
isect: x:A. B[x],
uall: [x:A]. B[x],
eclass: EClass(A[eo; e]),
so_lambda: 
x y.t[x; y],
universe: Type,
member: t T,
event-ordering+: EO+(Info),
equal: s = t,
tactic: Error :tactic,
Id: Id,
es-causl: (e < e'),
so_apply: x[s],
guard: {T},
l_member: (x l),
MaAuto: Error :MaAuto,
RepeatFor: Error :RepeatFor,
CollapseTHEN: Error :CollapseTHEN,
btrue: tt,
bool: 
,
sq_type: SQType(T),
isl: isl(x),
can-apply: can-apply(f;x),
in-eclass: e 
X,
infix_ap: x f y,
squash: 
T,
so_lambda: x.t[x],
sqequal: s ~ t
Lemmas :
set_subtype_base,
squash_wf,
subtype_base_sq,
bool_subtype_base,
bool_wf,
assert_elim,
in-eclass_wf,
es-cut-locl-closed,
member_wf,
uiff_inversion,
es-locl_wf,
es-causl_wf,
Id_wf,
eclass_wf,
top_wf,
event-ordering+_wf,
sys-antecedent_wf,
es-cut_wf,
fset-member_wf-cut,
es-le_wf,
es-E_wf,
subtype_rel_self,
event-ordering+_inc,
fset-member_witness,
fset-member_wf,
assert_wf,
false_wf,
ifthenelse_wf,
deq-member_wf,
true_wf,
es-E-interface_wf,
es-eq_wf-interface
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[c:Cut(X;f)].
\mforall{}[a,e:E(X)].
(e \mmember{} c) supposing (e \mleq{}loc a and a \mmember{} c)
Date html generated:
2011_08_16-PM-05_47_51
Last ObjectModification:
2011_06_20-AM-01_34_00
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