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Step * 2 of Lemma State-loc-comb-classrel-single-val


1. Info : Type
2. B : Type
3. A : Type
4. f : Id ─→ A ─→ B ─→ B@i
5. init : Id ─→ bag(B)@i
6. X : EClass(A)@i'
7. es : EO+(Info)@i'
8. e : E@i
9. v : B@i
10. single-valued-bag(init loc(e);B)
11. single-valued-classrel(es;X;A)
12. iterated-classrel(es;B;A;f loc(e);init;X;e;v)
⊢ v ∈ State-loc-comb(init;f;X)(e)
BY
{ ((RWO "State-loc-comb-classrel-non-loc" 0 THENA Auto) THEN RWO "State-comb-classrel-single-val" 0 THEN Auto) }

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Latex:

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Latex:

1.  Info  :  Type
2.  B  :  Type
3.  A  :  Type
4.  f  :  Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B@i
5.  init  :  Id  {}\mrightarrow{}  bag(B)@i
6.  X  :  EClass(A)@i'
7.  es  :  EO+(Info)@i'
8.  e  :  E@i
9.  v  :  B@i
10.  single-valued-bag(init  loc(e);B)
11.  single-valued-classrel(es;X;A)
12.  iterated-classrel(es;B;A;f  loc(e);init;X;e;v)
\mvdash{}  v  \mmember{}  State-loc-comb(init;f;X)(e)


By

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

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