Step
*
of Lemma
pv11_p1_CommanderState-classrel
∀[Cmd:ValueAllType]. ∀[accpts:bag(Id)]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  ∀es:EO+(Message(mf)). ∀e:E. ∀x:pv11_p1_Ballot_Num(). ∀zzs:ℤ. ∀v:bag(Id).
    (v ∈ pv11_p1_CommanderState(Cmd;accpts;mf) x zzs(e)
    
⇐⇒ v = pv11_p1_CommanderStateFun(Cmd;accpts;mf;x;zzs;es;e) ∈ bag(Id))
BY
{ ProveEmlLemma }
Latex:
Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[accpts:bag(Id)].  \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd)].
    \mforall{}es:EO+(Message(mf)).  \mforall{}e:E.  \mforall{}x:pv11\_p1\_Ballot\_Num().  \mforall{}zzs:\mBbbZ{}.  \mforall{}v:bag(Id).
        (v  \mmember{}  pv11\_p1\_CommanderState(Cmd;accpts;mf)  x  zzs(e)
        \mLeftarrow{}{}\mRightarrow{}  v  =  pv11\_p1\_CommanderStateFun(Cmd;accpts;mf;x;zzs;es;e))
By
Latex:
ProveEmlLemma
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