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Step * 3 of Lemma FOL-abstract_wf


1. isall : 𝔹
2. var : ℤ
3. f3 : mFOL()
4. FOL-abstract(f3) ∈ AbstractFOFormula+(mFOL-freevars(f3))
⊢ FOL-abstract(mFOquant(isall;var;f3)) ∈ AbstractFOFormula+(mFOL-freevars(mFOquant(isall;var;f3)))
BY
{ (RepUR ``FOL-abstract mFOL-freevars`` 0
   THEN Folds ``FOL-abstract mFOL-freevars`` 0
   THEN InstLemma `FOQuantifier+_wf` [⌜mFOL-freevars(f3)⌝;⌜isall⌝]⋅
   THEN Auto) }

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Latex:

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Latex:

1.  isall  :  \mBbbB{}
2.  var  :  \mBbbZ{}
3.  f3  :  mFOL()
4.  FOL-abstract(f3)  \mmember{}  AbstractFOFormula+(mFOL-freevars(f3))
\mvdash{}  FOL-abstract(mFOquant(isall;var;f3))  \mmember{}  AbstractFOFormula+(mFOL-freevars(mFOquant(isall;var;f3)))


By

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

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