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Step * of Lemma fl-filter-filter

∀[P,Q,s:Top].  (fl-filter(fl-filter(s;x.P[x]);x.Q[x]) ~ fl-filter(s;x.P[x] ∧b Q[x]))
BY
{ ((UnivCD THENA Auto)
   THEN RepUR ``fl-filter cal-filter fset-filter`` 0
   THEN (RWO "filter-filter" 0 THENA Auto)
   THEN Reduce 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[P,Q,s:Top].    (fl-filter(fl-filter(s;x.P[x]);x.Q[x])  \msim{}  fl-filter(s;x.P[x]  \mwedge{}\msubb{}  Q[x]))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  RepUR  ``fl-filter  cal-filter  fset-filter``  0
  THEN  (RWO  "filter-filter"  0  THENA  Auto)
  THEN  Reduce  0
  THEN  Auto)

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