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Step * of Lemma concat-lifting-loc-3_wf

∀[A,B,C,D:Type]. ∀[f:Id ─→ A ─→ B ─→ C ─→ bag(D)].
  (concat-lifting-loc-3(f) ∈ Id ─→ bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D))
BY
{ (ProveWfLemma
   THEN InstLemma `concat-lifting-loc_wf` [⌈D⌉; ⌈3⌉; ⌈λn.[A; B; C][n]⌉; ⌈λn.[a; b; c][n]⌉; ⌈l⌉; ⌈f⌉]⋅
   THEN Try (Complete (Auto))
   THEN Try (Complete (((MemCD THENA Auto) THEN IntSegCases (-1) THEN Reduce 0 THEN Auto)))
   THEN Unfold `funtype` 0⋅
   THEN Repeat (((RWO "primrec-unroll" 0 THENM Reduce 0) THEN Auto))) }

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Latex:

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Latex:
\mforall{}[A,B,C,D:Type].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  C  {}\mrightarrow{}  bag(D)].
    (concat-lifting-loc-3(f)  \mmember{}  Id  {}\mrightarrow{}  bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(D))


By

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Latex:
(ProveWfLemma
  THEN  InstLemma  `concat-lifting-loc\_wf`  [\mkleeneopen{}D\mkleeneclose{};  \mkleeneopen{}3\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[A;  B;  C][n]\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[a;  b;  c][n]\mkleeneclose{};  \mkleeneopen{}l\mkleeneclose{};  \mkleeneopen{}f\mkleeneclose{}]\mcdot{}
  THEN  Try  (Complete  (Auto))
  THEN  Try  (Complete  (((MemCD  THENA  Auto)  THEN  IntSegCases  (-1)  THEN  Reduce  0  THEN  Auto)))
  THEN  Unfold  `funtype`  0\mcdot{}
  THEN  Repeat  (((RWO  "primrec-unroll"  0  THENM  Reduce  0)  THEN  Auto)))

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