Step
*
of 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])
BY
{ Auto }
Latex:
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])
By
Latex:
Auto
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