Step
*
of Lemma
bag-product-single
∀[bs:Top List]. ∀[a:Top].  ({a} × bs ~ bag-map(λx.<a, x>bs))
BY
{ (RepUR ``bag-product single-bag bag-append empty-bag bag-map`` 0 THEN Auto THEN RWO "append-nil" 0 THEN Auto) }
Latex:
Latex:
\mforall{}[bs:Top  List].  \mforall{}[a:Top].    (\{a\}  \mtimes{}  bs  \msim{}  bag-map(\mlambda{}x.<a,  x>bs))
By
Latex:
(RepUR  ``bag-product  single-bag  bag-append  empty-bag  bag-map``  0
  THEN  Auto
  THEN  RWO  "append-nil"  0
  THEN  Auto)
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