Step
*
of Lemma
rec-combined-loc-class-3-classrel
∀[B,F,X,Y,Z,es,e,v:Top].
  (v ∈ rec-combined-loc-class-3(F;X;Y;Z)(e) ~ v ∈ simple-loc-comb-4(F;X;Y;Z;Prior(rec-combined-loc-class-3(F;X;Y;Z)))(
                                                  e))
BY
{ ((UnivCD THENA Auto)
   THEN RepUR ``classrel rec-combined-loc-class-3 simple-loc-comb-4 simple-loc-comb`` 0
   THEN RW (AddrC [1] (RecUnfoldC `rec-combined-loc-class`)) 0
   THEN Reduce 0
   THEN Auto) }
Latex:
Latex:
\mforall{}[B,F,X,Y,Z,es,e,v:Top].
    (v  \mmember{}  rec-combined-loc-class-3(F;X;Y;Z)(e) 
    \msim{}  v  \mmember{}  simple-loc-comb-4(F;X;Y;Z;Prior(rec-combined-loc-class-3(F;X;Y;Z)))(e))
By
Latex:
((UnivCD  THENA  Auto)
  THEN  RepUR  ``classrel  rec-combined-loc-class-3  simple-loc-comb-4  simple-loc-comb``  0
  THEN  RW  (AddrC  [1]  (RecUnfoldC  `rec-combined-loc-class`))  0
  THEN  Reduce  0
  THEN  Auto)
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