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Step * of Lemma prior-as-rec-bind-class-in2-property

∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[x,a:bag(A)]. ∀[es:EO+(Info)]. ∀[e:E].
  ∀[w:bag(A)]. (¬w ∈ prior-as-rec-bind-class-in2(X;a)(e)) supposing a ∈ prior-as-rec-bind-class-in2(X;x)(e)
BY
{ ((UnivCD THENA Auto)
   THEN (Assert ⌈e ∈ E⌉⋅ THENA Auto)
   THEN (D 0 THENA Auto)
   THEN Unfold `prior-as-rec-bind-class-in2` (-1)
   THEN RWO "skip-first-class-property-iff" (-1)
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[Info,A:Type].  \mforall{}[X:EClass(A)].  \mforall{}[x,a:bag(A)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].
    \mforall{}[w:bag(A)].  (\mneg{}w  \mmember{}  prior-as-rec-bind-class-in2(X;a)(e)) 
    supposing  a  \mmember{}  prior-as-rec-bind-class-in2(X;x)(e)


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  (Assert  \mkleeneopen{}e  \mmember{}  E\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  (D  0  THENA  Auto)
  THEN  Unfold  `prior-as-rec-bind-class-in2`  (-1)
  THEN  RWO  "skip-first-class-property-iff"  (-1)
  THEN  Auto)

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