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Step * of Lemma lifting2-loc_wf

∀[A,B,C:Type]. ∀[f:Id ─→ A ─→ B ─→ C]. ∀[loc:Id]. ∀[abag:bag(A)]. ∀[bbag:bag(B)].
  (lifting2-loc(f;loc;abag;bbag) ∈ bag(C))
BY
{ (ProveWfLemma
   THEN InstLemma `lifting-loc-gen-rev_wf` [⌈C⌉; ⌈2⌉; ⌈λx.[A; B][x]⌉; ⌈λx.[abag; bbag][x]⌉; ⌈loc⌉; ⌈f⌉]⋅
   THEN Try (Complete (Auto)))⋅ }

1
.....wf..... 
1. A : Type
2. B : Type
3. C : Type
4. f : Id ─→ A ─→ B ─→ C
5. loc : Id
6. abag : bag(A)
7. bbag : bag(B)
⊢ f ∈ Id ─→ funtype(2;λx.[A; B][x];C)

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Latex:

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Latex:
\mforall{}[A,B,C:Type].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  C].  \mforall{}[loc:Id].  \mforall{}[abag:bag(A)].  \mforall{}[bbag:bag(B)].
    (lifting2-loc(f;loc;abag;bbag)  \mmember{}  bag(C))


By

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Latex:
(ProveWfLemma
  THEN  InstLemma  `lifting-loc-gen-rev\_wf`  [\mkleeneopen{}C\mkleeneclose{};  \mkleeneopen{}2\mkleeneclose{};  \mkleeneopen{}\mlambda{}x.[A;  B][x]\mkleeneclose{};  \mkleeneopen{}\mlambda{}x.[abag;  bbag][x]\mkleeneclose{};  \mkleeneopen{}loc\mkleeneclose{};  \mkleeneopen{}f\mkleeneclose{}
  ]\mcdot{}
  THEN  Try  (Complete  (Auto)))\mcdot{}

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