Step
*
of Lemma
OARcast_SenderState-classrel
∀[M:ValueAllType]. ∀[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom List].
∀[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
  ∀es:EO+(Message(mf)). ∀e:E. ∀v:ℤ.
    (v ∈ OARcast_SenderState(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)(e)
    
⇐⇒ v = OARcast_SenderStateFun(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf;es;e) ∈ ℤ)
BY
{ ProveEmlLemma }
Latex:
Latex:
\mforall{}[M:ValueAllType].  \mforall{}[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom  List].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
    \mforall{}es:EO+(Message(mf)).  \mforall{}e:E.  \mforall{}v:\mBbbZ{}.
        (v  \mmember{}  OARcast\_SenderState(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)(e)
        \mLeftarrow{}{}\mRightarrow{}  v  =  OARcast\_SenderStateFun(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf;es;e))
By
Latex:
ProveEmlLemma
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