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Step * of Lemma State-classrel2

∀[Info,B,A:Type]. ∀[f:A ─→ B ─→ B]. ∀[init:Id ─→ bag(B)].
  ∀X:EClass(A). ∀es:EO+(Info). ∀e:E.  ∀[v:B]. (v ∈ State-class(init;f;X)(e) ⇐⇒ ↓iterated-classrel(es;B;A;f;init;X;e;v))
BY
{ ((UnivCD THENA Auto) THEN (RWO "State-classrel" 0 THENA Auto) THEN RWO "iterated-classrel-iff" 0 THEN Auto) }

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Latex:

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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-class(init;f;X)(e)  \mLeftarrow{}{}\mRightarrow{}  \mdownarrow{}iterated-classrel(es;B;A;f;init;X;e;v))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  (RWO  "State-classrel"  0  THENA  Auto)
  THEN  RWO  "iterated-classrel-iff"  0
  THEN  Auto)

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