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Step * of Lemma loop-class_local

∀[Info,B:Type]. ∀[X:EClass(B ⟶ bag(B))].
  ∀init:Id ⟶ bag(B). LocalClass(X) ⇒ LocalClass(loop-class(X;init)) supposing valueall-type(B)
BY
{ (Auto THEN RenameVar `pr' (-1) THEN UseWitness ⌜loop-class-program(init;pr)⌝⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}[Info,B:Type].  \mforall{}[X:EClass(B  {}\mrightarrow{}  bag(B))].
    \mforall{}init:Id  {}\mrightarrow{}  bag(B).  LocalClass(X)  {}\mRightarrow{}  LocalClass(loop-class(X;init))  supposing  valueall-type(B)


By

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Latex:
(Auto  THEN  RenameVar  `pr'  (-1)  THEN  UseWitness  \mkleeneopen{}loop-class-program(init;pr)\mkleeneclose{}\mcdot{}  THEN  Auto)

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