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Step * of Lemma loop-class-memory-member

∀[Info,B:Type]. ∀[X:EClass(B ─→ B)]. ∀[init:Id ─→ bag(B)]. ∀[es:EO+(Info)]. ∀[e:E].
  uiff(0 < #(init loc(e));↑e ∈b loop-class-memory(X;init))
BY
{ ((UnivCD THENA Auto)
   THEN (RWO "member-eclass-iff-size" 0 THENA Auto)
   THEN Fold `class-ap` 0
   THEN RWO "loop-class-memory-size<" 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[Info,B:Type].  \mforall{}[X:EClass(B  {}\mrightarrow{}  B)].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].
    uiff(0  <  \#(init  loc(e));\muparrow{}e  \mmember{}\msubb{}  loop-class-memory(X;init))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  (RWO  "member-eclass-iff-size"  0  THENA  Auto)
  THEN  Fold  `class-ap`  0
  THEN  RWO  "loop-class-memory-size<"  0
  THEN  Auto)

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