Step * of Lemma simple-comb-4_wf

[Info,A,B,C,D,E:Type].
  ∀F:bag(A) ⟶ bag(B) ⟶ bag(C) ⟶ bag(D) ⟶ bag(E)
    ∀[W:EClass(A)]. ∀[X:EClass(B)]. ∀[Y:EClass(C)]. ∀[Z:EClass(D)].  (simple-comb-4(F;W;X;Y;Z) ∈ EClass(E))
BY
(ProveWfLemma
   THEN InstLemma `simple-comb_wf` [⌜Info⌝; ⌜E⌝; ⌜4⌝; ⌜λn.[A; B; C; D][n]⌝; ⌜λn.[W; X; Y; Z][n]⌝; ⌜λw.(F (w 0) (w 1) 
                                                                                                       (w 2) 
                                                                                                       (w 3))⌝]⋅
   THEN Try (Complete ((Auto THEN Auto'))))⋅ }


Latex:


Latex:
\mforall{}[Info,A,B,C,D,E:Type].
    \mforall{}F:bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C)  {}\mrightarrow{}  bag(D)  {}\mrightarrow{}  bag(E)
        \mforall{}[W:EClass(A)].  \mforall{}[X:EClass(B)].  \mforall{}[Y:EClass(C)].  \mforall{}[Z:EClass(D)].
            (simple-comb-4(F;W;X;Y;Z)  \mmember{}  EClass(E))


By


Latex:
(ProveWfLemma
  THEN  InstLemma  `simple-comb\_wf`  [\mkleeneopen{}Info\mkleeneclose{};  \mkleeneopen{}E\mkleeneclose{};  \mkleeneopen{}4\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[A;  B;  C;  D][n]\mkleeneclose{};  \mkleeneopen{}\mlambda{}n.[W;  X;  Y;  Z][n]\mkleeneclose{}; 
  \mkleeneopen{}\mlambda{}w.(F  (w  0)  (w  1)  (w  2)  (w  3))\mkleeneclose{}]\mcdot{}
  THEN  Try  (Complete  ((Auto  THEN  Auto'))))\mcdot{}




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