Step
*
of Lemma
State-comb-classrel
∀[Info,B,A:Type]. ∀[f:A ─→ B ─→ B]. ∀[init:Id ─→ bag(B)].
  ∀X:EClass(A). ∀es:EO+(Info). ∀e:E.  ∀[v:B]. (v ∈ State-comb(init;f;X)(e) 
⇐⇒ iterated_classrel(es;B;A;f;init;X;e;v))
BY
{ (InstLemma `State-classrel` [] THEN RepeatFor 9 (ParallelLast) THEN RWO "State-comb-classrel-class" 0 THEN Auto) }
Latex:
Latex:
\mforall{}[Info,B,A:Type].  \mforall{}[f:A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].
    \mforall{}X:EClass(A).  \mforall{}es:EO+(Info).  \mforall{}e:E.
        \mforall{}[v:B].  (v  \mmember{}  State-comb(init;f;X)(e)  \mLeftarrow{}{}\mRightarrow{}  iterated\_classrel(es;B;A;f;init;X;e;v))
By
Latex:
(InstLemma  `State-classrel`  []
  THEN  RepeatFor  9  (ParallelLast)
  THEN  RWO  "State-comb-classrel-class"  0
  THEN  Auto)
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