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Step * of Lemma sub-bag-append-trivial2

∀[T:Type]. ∀[b,y:bag(T)].  ∀x:bag(T). (sub-bag(T;b;y) ⇒ sub-bag(T;b;x + y))
BY
{ (Auto
   THEN All (Unfold `sub-bag`)
   THEN ExRepD
   THEN (InstConcl [⌜x + cs⌝]⋅ THENA Auto)
   THEN HypSubst' (-1) 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[b,y:bag(T)].    \mforall{}x:bag(T).  (sub-bag(T;b;y)  {}\mRightarrow{}  sub-bag(T;b;x  +  y))


By

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Latex:
(Auto
  THEN  All  (Unfold  `sub-bag`)
  THEN  ExRepD
  THEN  (InstConcl  [\mkleeneopen{}x  +  cs\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  HypSubst'  (-1)  0
  THEN  Auto)

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