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Step * of Lemma pv11_p1_scout_fun_from_acc2

∀Cmd:ValueAllType. ∀f:pv11_p1_headers_type{i:l}(Cmd). ∀es:EO+(Message(f)). ∀e:E. ∀accpts,ldrs:bag(Id).
∀ldrs_uid:Id ─→ ℤ. ∀reps:bag(Id). ∀b:pv11_p1_Ballot_Num(). ∀p:pv11_p1_Ballot_Num() × ℤ × Cmd.
  (pv11_p1_message-constraint{paxos-v11-part1.esh:o}(Cmd; accpts; ldrs; ldrs_uid; reps; f; es)
  ⇒ (p ∈ snd(pv11_p1_ScoutStateFun(Cmd;accpts;f;b;es;e)))
  ⇒ (↓∃e':E. ((e' < e) ∧ (p ∈ snd(pv11_p1_AcceptorStateFun(Cmd;ldrs_uid;f;es;e'))))))
BY
{ (StartEmlProof
   THEN (FLemma `pv11_p1_scout_fun_from_acc` [-1] THENA Auto)
   THEN ExRepD
   THEN (UseMessageConstraint (-2) THENA Auto)
   THEN RepD
   THEN D 0
   THEN InstConcl [⌈e'@0⌉]⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}Cmd:ValueAllType.  \mforall{}f:pv11\_p1\_headers\_type\{i:l\}(Cmd).  \mforall{}es:EO+(Message(f)).  \mforall{}e:E.
\mforall{}accpts,ldrs:bag(Id).  \mforall{}ldrs$_{uid}$:Id  {}\mrightarrow{}  \mBbbZ{}.  \mforall{}reps:bag(Id).  \mforall{}b:pv11\_p1\_Ballot\_Nu\000Cm().
\mforall{}p:pv11\_p1\_Ballot\_Num()  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd.
    (pv11\_p1\_message-constraint\{paxos-v11-part1.esh:o\}(Cmd;  accpts;  ldrs;  ldrs$_{uid}\mbackslash{}\000Cff24;  reps;  f;  es)
    {}\mRightarrow{}  (p  \mmember{}  snd(pv11\_p1\_ScoutStateFun(Cmd;accpts;f;b;es;e)))
    {}\mRightarrow{}  (\mdownarrow{}\mexists{}e':E.  ((e'  <  e)  \mwedge{}  (p  \mmember{}  snd(pv11\_p1\_AcceptorStateFun(Cmd;ldrs$_{uid}$;f;e\000Cs;e'))))))


By

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Latex:
(StartEmlProof
  THEN  (FLemma  `pv11\_p1\_scout\_fun\_from\_acc`  [-1]  THENA  Auto)
  THEN  ExRepD
  THEN  (UseMessageConstraint  (-2)  THENA  Auto)
  THEN  RepD
  THEN  D  0
  THEN  InstConcl  [\mkleeneopen{}e'@0\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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