{ 
[es:EO]. [P:E 
]. [d:a:E Dec(P[a])].
(last-solution(es;P;d) 
E (E + Top)) }
{ Proof }
Definitions occuring in Statement :
last-solution: last-solution(es;P;d),
es-E: E,
event_ordering: EO,
decidable: Dec(P),
uall: [x:A]. B[x],
top: Top,
prop: ,
so_apply: x[s],
member: t T,
function: x:A B[x],
union: left + right
Definitions :
strong-subtype: strong-subtype(A;B),
list: type List,
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A 
r B,
fpf: a:A fp-> B[a],
axiom: Ax,
last-solution: last-solution(es;P;d),
top: Top,
union: left + right,
apply: f a,
so_apply: x[s],
decidable: Dec(P),
isect: 
x:A. B[x],
dep-isect: Error :dep-isect,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
all: x:A. B[x],
uall: [x:A]. B[x],
function: x:A B[x],
prop: ,
universe: Type,
es-E: E,
record+: record+,
member: t T,
equal: s = t,
event_ordering: EO,
infix_ap: x f y,
record-select: r.x,
tactic: Error :tactic,
unit: Unit,
void: Void,
subtype: S T,
suptype: suptype(S; T),
guard: {T},
sq_type: SQType(T),
false: False,
pair: <a, b>,
bool: 
,
pi1: fst(t),
inl: inl x ,
it: 
,
inr: inr x ,
decide: case b of inl(x) => s[x] | inr(y) => t[y],
es-causl: (e < e'),
es-loc: loc(e),
limited-type: LimitedType,
Id: Id,
set: {x:A| B[x]} ,
implies: P 
Q,
so_lambda: 
x.t[x],
last-event,
lambda: x.A[x],
Auto: Error :Auto,
es-le: e loc e' ,
es-locl: (e <loc e'),
cand: A c B,
exists: 
x:A. B[x],
alle-le: ee'.P[e],
or: P 
Q,
CollapseTHEN: Error :CollapseTHEN,
MaAuto: Error :MaAuto,
CollapseTHENA: Error :CollapseTHENA,
Unfold: Error :Unfold
Lemmas :
es-le_wf,
es-locl_wf,
not_wf,
alle-le_wf,
uall_wf,
Id_wf,
last-event,
es-loc_wf,
es-le-loc,
it_wf,
unit_wf,
pi1_wf_top,
event_ordering_wf,
decidable_wf,
member_wf,
top_wf,
es-E_wf
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[d:a:E {}\mrightarrow{} Dec(P[a])]. (last-solution(es;P;d) \mmember{} E {}\mrightarrow{} (E + Top))
Date html generated:
2011_08_16-AM-10_53_09
Last ObjectModification:
2011_06_18-AM-09_26_39
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