Nuprl Lemma : pRun_wf2
∀[M:Type ⟶ Type]
  ∀[nat2msg:ℕ ⟶ pMsg(P.M[P])]. ∀[loc2msg:Id ⟶ pMsg(P.M[P])]. ∀[S0:System(P.M[P])]. ∀[env:pEnvType(P.M[P])].
    (pRun(S0;env;nat2msg;loc2msg) ∈ pRunType(P.M[P])) 
  supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement : 
pRun: pRun(S0;env;nat2msg;loc2msg)
, 
pEnvType: pEnvType(T.M[T])
, 
pRunType: pRunType(T.M[T])
, 
System: System(P.M[P])
, 
pMsg: pMsg(P.M[P])
, 
Id: Id
, 
strong-type-continuous: Continuous+(T.F[T])
, 
nat: ℕ
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
so_apply: x[s]
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
Latex:
\mforall{}[M:Type  {}\mrightarrow{}  Type]
    \mforall{}[nat2msg:\mBbbN{}  {}\mrightarrow{}  pMsg(P.M[P])].  \mforall{}[loc2msg:Id  {}\mrightarrow{}  pMsg(P.M[P])].  \mforall{}[S0:System(P.M[P])].
    \mforall{}[env:pEnvType(P.M[P])].
        (pRun(S0;env;nat2msg;loc2msg)  \mmember{}  pRunType(P.M[P])) 
    supposing  Continuous+(P.M[P])
Date html generated:
2016_05_17-AM-10_40_31
Last ObjectModification:
2015_12_29-PM-05_24_44
Theory : process-model
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