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Step * of Lemma OARcast_orderer_for_sender_outputs_wf

∀[M:ValueAllType]. ∀[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom List]. ∀[receivers:bag(Id)].
∀[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
  (OARcast_orderer_for_sender_outputs(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf) ∈ Id
   ⟶ Id
   ⟶ ((ℤ × M) List × ℤ × ((ℤ × M) List))
   ⟶ bag(Interface))
BY
{ ProveEmlWfLemma }

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Latex:

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Latex:
\mforall{}[M:ValueAllType].  \mforall{}[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom  List].  \mforall{}[receivers:bag(Id)].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
    (OARcast\_orderer\_for\_sender\_outputs(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf)  \mmember{}  Id
      {}\mrightarrow{}  Id
      {}\mrightarrow{}  ((\mBbbZ{}  \mtimes{}  M)  List  \mtimes{}  \mBbbZ{}  \mtimes{}  ((\mBbbZ{}  \mtimes{}  M)  List))
      {}\mrightarrow{}  bag(Interface))


By

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Latex:
ProveEmlWfLemma

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