{ 
[M:Type 
Type]. [r:pRunType(P.M[P])].
(run-lt-transitive-witness() 
Trans(runEvents(r);x,y.x run-lt(r) y)) }
{ Proof }
Definitions occuring in Statement :
run-lt-transitive-witness: run-lt-transitive-witness(),
run-lt: run-lt(r),
runEvents: runEvents(r),
pRunType: pRunType(T.M[T]),
trans: Trans(T;x,y.E[x; y]),
uall: [x:A]. B[x],
infix_ap: x f y,
so_apply: x[s],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
iff_weakening_uiff,
add: n + m,
sq_type: SQType(T),
genrec: genrec,
sqequal: s ~ t,
limited-type: LimitedType,
implies: P 
Q,
so_apply: x[s],
lambda: 
x.A[x],
eclass: EClass(A[eo; e]),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
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,
all: x:A. B[x],
prop: 
,
so_lambda: 
x y.t[x; y],
universe: Type,
run-lt-transitive-witness: run-lt-transitive-witness(),
function: x:A B[x],
axiom: Ax,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
pRunType: pRunType(T.M[T]),
so_lambda: x.t[x],
equal: s = t,
CollapseTHEN: Error :CollapseTHEN,
Try: Error :Try,
Auto: Error :Auto,
run-lt-transitive,
apply: f a,
run-lt: run-lt(r),
infix_ap: x f y,
runEvents: runEvents(r),
trans: Trans(T;x,y.E[x; y]),
member: t T,
AssertBY: Error :AssertBY
Lemmas :
member_wf,
run-lt-transitive,
uall_wf,
pRunType_wf,
run-lt_wf,
runEvents_wf,
trans_wf,
subtype_base_sq
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])].
(run-lt-transitive-witness() \mmember{} Trans(runEvents(r);x,y.x run-lt(r) y))
Date html generated:
2011_08_17-PM-03_39_05
Last ObjectModification:
2011_06_18-AM-11_20_08
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