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Step * 2 of Lemma FOL-abstract_wf


1. knd : Atom
2. left : mFOL()
3. f3 : mFOL()
4. FOL-abstract(f3) ∈ AbstractFOFormula+(mFOL-freevars(f3))
5. FOL-abstract(left) ∈ AbstractFOFormula+(mFOL-freevars(left))
⊢ FOL-abstract(mFOconnect(knd;left;f3)) ∈ AbstractFOFormula+(mFOL-freevars(mFOconnect(knd;left;f3)))
BY
{ (RepUR ``FOL-abstract mFOL-freevars`` 0
   THEN Folds ``FOL-abstract mFOL-freevars`` 0
   THEN InstLemma `FOConnective+_wf` [⌜mFOL-freevars(left)⌝;⌜mFOL-freevars(f3)⌝;⌜knd⌝]⋅
   THEN Auto) }

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Latex:

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Latex:

1.  knd  :  Atom
2.  left  :  mFOL()
3.  f3  :  mFOL()
4.  FOL-abstract(f3)  \mmember{}  AbstractFOFormula+(mFOL-freevars(f3))
5.  FOL-abstract(left)  \mmember{}  AbstractFOFormula+(mFOL-freevars(left))
\mvdash{}  FOL-abstract(mFOconnect(knd;left;f3))  \mmember{}  AbstractFOFormula+(mFOL-freevars(mFOconnect(knd;left;f3)))


By

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Latex:
(RepUR  ``FOL-abstract  mFOL-freevars``  0
  THEN  Folds  ``FOL-abstract  mFOL-freevars``  0
  THEN  InstLemma  `FOConnective+\_wf`  [\mkleeneopen{}mFOL-freevars(left)\mkleeneclose{};\mkleeneopen{}mFOL-freevars(f3)\mkleeneclose{};\mkleeneopen{}knd\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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