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Step * of Lemma eclass-state-program_wf

∀[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)]. ∀[pr:LocalClass(X)].
  eclass-state-program(init;f;pr) ∈ LocalClass(eclass-state(init;f;X)) supposing valueall-type(B) ∧ (↓B)
BY
{ (Auto THEN RepUR ``eclass-state-program eclass-state`` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[init:Id  {}\mrightarrow{}  B].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].  \mforall{}[pr:LocalClass(X)].
    eclass-state-program(init;f;pr)  \mmember{}  LocalClass(eclass-state(init;f;X)) 
    supposing  valueall-type(B)  \mwedge{}  (\mdownarrow{}B)


By

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Latex:
(Auto  THEN  RepUR  ``eclass-state-program  eclass-state``  0  THEN  Auto)

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