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Step * of Lemma State-loc-comb-classrel

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

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Latex:

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Latex:
\mforall{}[Info,B,A:Type].  \mforall{}[f:Id  {}\mrightarrow{}  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-loc-comb(init;f;X)(e)  \mLeftarrow{}{}\mRightarrow{}  iterated\_classrel(es;B;A;f  loc(e);init;X;e;v))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  (RWO  "State-loc-comb-classrel-non-loc"  0  THENA  Auto)
  THEN  RWO  "State-comb-classrel"  0
  THEN  Auto)

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