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Step * of Lemma simple-loc-comb-3_wf

∀[Info,A,B,C,D:Type]. ∀[F:Id ─→ bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(C)].
  (F|Loc, X, Y, Z| ∈ EClass(D))
BY
{ (ProveWfLemma
   THEN InstLemma `simple-loc-comb_wf` [⌈Info⌉; ⌈D⌉; ⌈3⌉; ⌈λn.[A; B; C][n]⌉; ⌈λn.[X; Y; Z][n]⌉; ⌈λl,w. (F l (w 0) (w 1) 
                                                                                                        (w 2))⌉]⋅
   THEN Try (Complete ((Auto THEN Auto')))) }

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Latex:

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Latex:
\mforall{}[Info,A,B,C,D:Type].  \mforall{}[F:Id  {}\mrightarrow{}  bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(D)].  \mforall{}[X:EClass(A)].
\mforall{}[Y:EClass(B)].  \mforall{}[Z:EClass(C)].
    (F|Loc,  X,  Y,  Z|  \mmember{}  EClass(D))


By

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Latex:
(ProveWfLemma
  THEN  InstLemma  `simple-loc-comb\_wf`  [\mkleeneopen{}Info\mkleeneclose{};  \mkleeneopen{}D\mkleeneclose{};  \mkleeneopen{}3\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[A;  B;  C][n]\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[X;  Y;  Z][n]\mkleeneclose{}; 
  \mkleeneopen{}\mlambda{}l,w.  (F  l  (w  0)  (w  1)  (w  2))\mkleeneclose{}]\mcdot{}
  THEN  Try  (Complete  ((Auto  THEN  Auto'))))

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