{ 
[S:LimitedType]. [T:Type]. [x:Id]. [P:S 
]. [f:Id
T
{v:S| 
P[v]} ].
[g:T (Id List)]. [hdr:Name].
(prop-rule-realizer-out(S;x;f;g;hdr)
T + Top LabeledDAG(Id 
pCom(P.Message))) }
{ Proof }
Definitions occuring in Statement :
prop-rule-realizer-out: prop-rule-realizer-out(T;x;f;g;hdr),
Message: Message,
pCom: pCom(P.M[P]),
ldag: LabeledDAG(T),
Id: Id,
name: Name,
assert: b,
bool: ,
uall: [x:A]. B[x],
top: Top,
so_apply: x[s],
member: t T,
set: {x:A| B[x]} ,
function: x:A B[x],
product: x:A B[x],
union: left + right,
list: type List,
universe: Type,
limited-type: LimitedType
Definitions :
lg-nil: lg-nil(),
make-lg: make-lg(L),
l_member: (x l),
atom: Atom,
listp: A List
,
combination: Combination(n;T),
token: "$token",
pair: <a, b>,
map: map(f;as),
lambda: 
x.A[x],
prop: 
,
apply: f a,
so_apply: x[s],
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
and: P 
Q,
uiff: uiff(P;Q),
axiom: Ax,
prop-rule-realizer-out: prop-rule-realizer-out(T;x;f;g;hdr),
pCom: pCom(P.M[P]),
ldag: LabeledDAG(T),
top: Top,
union: left + right,
name: Name,
list: type List,
assert: b,
fpf: a:A fp-> B[a],
subtype: S 
T,
es-E-interface: E(X),
uimplies: b supposing a,
subtype_rel: A r B,
eclass: EClass(A[eo; e]),
isect: 
x:A. B[x],
product: x:A B[x],
exists: 
x:A. B[x],
intensional-universe: IType,
set: {x:A| B[x]} ,
atom: Atom$n,
all: x:A. B[x],
uall: [x:A]. B[x],
function: x:A B[x],
bool: ,
limited-type: LimitedType,
Id: Id,
equal: s = t,
Auto: Error :Auto,
CollapseTHEN: Error :CollapseTHEN,
ORELSE: Error :ORELSE,
D: Error :D,
CollapseTHENA: Error :CollapseTHENA,
Message: Message,
so_lambda: 
x.t[x],
parameter: parm{i},
MaAuto: Error :MaAuto,
universe: Type,
member: t T,
AssertBY: Error :AssertBY,
tactic: Error :tactic,
Com: Com(P.M[P]),
mData: mData,
pMsg: pMsg(P.M[P]),
rev_implies: P 
Q,
or: P 
Q,
implies: P 
Q,
iff: P Q,
true: True,
type-monotone: Monotone(T.F[T]),
Process: Process(P.M[P]),
mk-tagged: mk-tagged(tg;x)
Lemmas :
pMsg_wf,
Process_wf,
subtype_rel_self,
uall_wf,
type-monotone_wf,
mk-tagged_wf_pCom_msg,
make-lg_wf_dag,
subtype_rel_wf,
name_wf,
assert_wf,
member_wf,
Id_wf,
map_wf,
top_wf,
Message_wf,
pCom_wf,
bool_wf,
ldag_wf,
intensional-universe_wf,
limited-type_wf,
lg-nil_wf_dag
\mforall{}[S:LimitedType]. \mforall{}[T:Type]. \mforall{}[x:Id]. \mforall{}[P:S {}\mrightarrow{} \mBbbB{}]. \mforall{}[f:Id {}\mrightarrow{} T {}\mrightarrow{} \{v:S| \muparrow{}P[v]\} ].
\mforall{}[g:T {}\mrightarrow{} (Id List)]. \mforall{}[hdr:Name].
(prop-rule-realizer-out(S;x;f;g;hdr) \mmember{} T + Top {}\mrightarrow{} LabeledDAG(Id \mtimes{} pCom(P.Message)))
Date html generated:
2011_08_17-PM-04_17_28
Last ObjectModification:
2011_06_18-AM-11_33_38
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