Step
*
of Lemma
simple-comb2_wf
∀[Info,A,B,C:Type].  ∀F:bag(A) ─→ bag(B) ─→ bag(C). ∀[X:EClass(A)]. ∀[Y:EClass(B)].  (λx,y.F[x;y]|X;Y| ∈ EClass(C))
BY
{ (ProveWfLemma
   THEN (InstLemma `simple-comb_wf` [⌈Info⌉;⌈C⌉;⌈2⌉;⌈λx.[A; B][x]⌉]⋅ THEN Try (BHyp -1 ))
   THEN Reduce 0
   THEN Try (Complete (Auto'))) }
Latex:
Latex:
\mforall{}[Info,A,B,C:Type].
    \mforall{}F:bag(A)  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(C).  \mforall{}[X:EClass(A)].  \mforall{}[Y:EClass(B)].    (\mlambda{}x,y.F[x;y]|X;Y|  \mmember{}  EClass(C))
By
Latex:
(ProveWfLemma
  THEN  (InstLemma  `simple-comb\_wf`  [\mkleeneopen{}Info\mkleeneclose{};\mkleeneopen{}C\mkleeneclose{};\mkleeneopen{}2\mkleeneclose{};\mkleeneopen{}\mlambda{}x.[A;  B][x]\mkleeneclose{}]\mcdot{}  THEN  Try  (BHyp  -1  ))
  THEN  Reduce  0
  THEN  Try  (Complete  (Auto')))
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