{ 
[M:Type 
Type]
[P:Process(P.M[P])]. [m:pMsg(P.M[P])].
(Process-apply(P;m) 
Process(P.M[P]) 
pExt(P.M[P]))
supposing Continuous+(P.M[P]) }
{ Proof }
Definitions occuring in Statement :
Process-apply: Process-apply(P;m),
pExt: pExt(P.M[P]),
pMsg: pMsg(P.M[P]),
Process: Process(P.M[P]),
strong-type-continuous: Continuous+(T.F[T]),
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
member: t T,
function: x:A B[x],
product: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
so_apply: x[s],
member: t T,
Process-apply: Process-apply(P;m),
so_lambda: 
x.t[x],
all: x:A. B[x],
implies: P 
Q,
Process: Process(P.M[P]),
pMsg: pMsg(P.M[P]),
pExt: pExt(P.M[P]),
pCom: pCom(P.M[P]),
Com: Com(P.M[P]),
tagged+: T |+ z:B,
prop: 
Lemmas :
pExt_wf,
pMsg_wf,
Process_wf,
strong-type-continuous_wf,
process-subtype,
ldag_wf,
Id_wf,
Com_wf,
continuous-ldag,
strong-continuous-product,
continuous-constant,
strong-continuous-isect2,
isect2_wf,
tag-case_wf,
unit_wf,
strong-continuous-tag-case,
continuous-id
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[P:Process(P.M[P])]. \mforall{}[m:pMsg(P.M[P])]. (Process-apply(P;m) \mmember{} Process(P.M[P]) \mtimes{} pExt(P.M[P]))
supposing Continuous+(P.M[P])
Date html generated:
2011_08_16-PM-06_49_18
Last ObjectModification:
2011_06_18-AM-11_03_39
Home
Index