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Step * of Lemma bag-combine-member-wf

∀[A,B:Type]. ∀[bs:bag(A)]. ∀[f:{a:A| a ↓∈ bs}  ⟶ bag(B)].  (⋃x∈bs.f[x] ∈ bag(B))
BY
{ ((UnivCD THENA Auto)
   THEN RepUR ``bag-combine`` 0
   THEN BLemma `bag-union_wf`
   THEN Try (Complete (Auto))
   THEN BLemma `bag-map-member-wf`
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[A,B:Type].  \mforall{}[bs:bag(A)].  \mforall{}[f:\{a:A|  a  \mdownarrow{}\mmember{}  bs\}    {}\mrightarrow{}  bag(B)].    (\mcup{}x\mmember{}bs.f[x]  \mmember{}  bag(B))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  RepUR  ``bag-combine``  0
  THEN  BLemma  `bag-union\_wf`
  THEN  Try  (Complete  (Auto))
  THEN  BLemma  `bag-map-member-wf`
  THEN  Auto)

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