Step * of Lemma new_23_sig_ReplicaState-classrel

[Cmd:ValueAllType]. ∀[notify,propose:Atom List]. ∀[slots:set-sig{i:l}(ℤ)].
[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
  ∀es:EO+(Message(f)). ∀e:E. ∀v:set-sig-set(slots).
    (v ∈ new_23_sig_ReplicaState(Cmd;notify;propose;slots;f)(e)
    ⇐⇒ new_23_sig_ReplicaStateFun(Cmd;notify;propose;slots;f;es;e) ∈ set-sig-set(slots))
BY
ProveEmlLemma }


Latex:



Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[notify,propose:Atom  List].  \mforall{}[slots:set-sig\{i:l\}(\mBbbZ{})].
\mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)].
    \mforall{}es:EO+(Message(f)).  \mforall{}e:E.  \mforall{}v:set-sig-set(slots).
        (v  \mmember{}  new\_23\_sig\_ReplicaState(Cmd;notify;propose;slots;f)(e)
        \mLeftarrow{}{}\mRightarrow{}  v  =  new\_23\_sig\_ReplicaStateFun(Cmd;notify;propose;slots;f;es;e))


By


Latex:
ProveEmlLemma




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