Step
*
of Lemma
new_23_sig_rounds_inc
∀Cmd:ValueAllType. ∀notify,propose:Atom List. ∀f:new_23_sig_headers_type{i:l}(Cmd;notify;propose). ∀es:EO+(Message(f)).
∀e1,e2:E. ∀n,round1,round2:ℤ.
  ((e1 <loc e2)
  
⇒ round1 ∈ new_23_sig_NewRoundsState(Cmd;notify;propose;f) n(e1)
  
⇒ round2 ∈ new_23_sig_NewRoundsState(Cmd;notify;propose;f) n(e2)
  
⇒ (round1 ≤ round2))
BY
{ MemoryOrdering }
Latex:
Latex:
\mforall{}Cmd:ValueAllType.  \mforall{}notify,propose:Atom  List.  \mforall{}f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose).
\mforall{}es:EO+(Message(f)).  \mforall{}e1,e2:E.  \mforall{}n,round1,round2:\mBbbZ{}.
    ((e1  <loc  e2)
    {}\mRightarrow{}  round1  \mmember{}  new\_23\_sig\_NewRoundsState(Cmd;notify;propose;f)  n(e1)
    {}\mRightarrow{}  round2  \mmember{}  new\_23\_sig\_NewRoundsState(Cmd;notify;propose;f)  n(e2)
    {}\mRightarrow{}  (round1  \mleq{}  round2))
By
Latex:
MemoryOrdering
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