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Step * of Lemma pv11_p1_LeaderState-classrel

∀[Cmd:ValueAllType]. ∀[ldrs_uid:Id ─→ ℤ]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  ∀es:EO+(Message(mf)). ∀e:E. ∀v:pv11_p1_Ballot_Num() × 𝔹 × ((ℤ × Cmd) List).
    (v ∈ pv11_p1_LeaderState(Cmd;ldrs_uid;mf)(e)
    ⇐⇒ v = pv11_p1_LeaderStateFun(Cmd;ldrs_uid;mf;es;e) ∈ (pv11_p1_Ballot_Num() × 𝔹 × ((ℤ × Cmd) List)))
BY
{ ProveEmlLemma }

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Latex:

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Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[ldrs$_{uid}$:Id  {}\mrightarrow{}  \mBbbZ{}].  \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd\000C)].
    \mforall{}es:EO+(Message(mf)).  \mforall{}e:E.  \mforall{}v:pv11\_p1\_Ballot\_Num()  \mtimes{}  \mBbbB{}  \mtimes{}  ((\mBbbZ{}  \mtimes{}  Cmd)  List).
        (v  \mmember{}  pv11\_p1\_LeaderState(Cmd;ldrs$_{uid}$;mf)(e)  \mLeftarrow{}{}\mRightarrow{}  v  =  pv11\_p1\_LeaderState\000CFun(Cmd;ldrs$_{uid}$;mf;es;e))


By

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Latex:
ProveEmlLemma

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