{ 
[Info:Type]. [es:EO+(Info)]. [X:EClass(Top)]. [f:sys-antecedent(es;X)].
[s:FSet{E(X)}].
(s 
cut(X;f;s) 
([c':Cut(X;f)]. cut(X;f;s) c' supposing s c')) }
{ Proof }
Definitions occuring in Statement :
cut-of: cut(X;f;s),
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-eq: es-eq(es),
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
and: P Q,
universe: Type,
fset: FSet{s},
f-subset: xs ys
Definitions :
es-causle: e c
e',
nil: [],
es-interface-pred: X-pred,
cons: [car / cdr],
fpf-cap: f(x)?z,
fpf: a:A fp-> B[a],
set-equal: set-equal(T;x;y),
list: type List,
so_apply: x[s],
or: P 
Q,
guard: {T},
l_member: (x 
l),
so_lambda: 
x.t[x],
fset-union: x 
y,
cand: A c B,
tl: tl(l),
hd: hd(l),
l_all: (xL.P[x]),
fset-closed: (s closed under fs),
es-eq: es-eq(es),
strong-subtype: strong-subtype(A;B),
quotient: x,y:A//B[x; y],
le: A B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uiff: uiff(P;Q),
es-cut: Cut(X;f),
cut-of: cut(X;f;s),
implies: P 
Q,
prop: 
,
pair: <a, b>,
void: Void,
false: False,
true: True,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
assert: 
b,
fset-member: a s,
uimplies: b supposing a,
f-subset: xs ys,
product: x:A 
B[x],
and: P Q,
set: {x:A| B[x]} ,
es-E-interface: E(X),
fset: FSet{T},
union: left + right,
sys-antecedent: sys-antecedent(es;Sys),
subtype: S T,
subtype_rel: A r B,
atom: Atom,
apply: f a,
es-base-E: es-base-E(es),
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,
es-cut-exists,
exists: 
x:A. B[x],
limited-type: LimitedType
Lemmas :
es-cut-exists,
fset-member_wf,
es-E-interface_wf,
cut-of_wf,
f-subset_wf,
fset-member_witness,
es-cut_wf,
fset_wf,
sys-antecedent_wf,
event-ordering+_wf,
event-ordering+_inc,
subtype_rel_self,
es-base-E_wf,
es-E_wf,
top_wf,
eclass_wf,
es-eq_wf-interface,
member_wf,
fset-member_wf-cut,
uall_wf,
uiff_inversion,
set-equal_wf,
subtype_rel_wf,
fset-closed_wf,
es-interface-pred_wf2
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[s:FSet\{E(X)\}].
(s \msubseteq{} cut(X;f;s) \mwedge{} (\mforall{}[c':Cut(X;f)]. cut(X;f;s) \msubseteq{} c' supposing s \msubseteq{} c'))
Date html generated:
2011_08_16-PM-05_49_27
Last ObjectModification:
2011_06_20-AM-01_35_33
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