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Step * 1 of Lemma mFOL-boundvars-of-rename


1. old : ℤ
2. new : ℤ
3. knd : Atom
4. left : mFOL()
5. right : mFOL()
6. mFOL-boundvars(mFOL-rename(left;old;new)) = mFOL-boundvars(left) ∈ (ℤ List)
7. mFOL-boundvars(mFOL-rename(right;old;new)) = mFOL-boundvars(right) ∈ (ℤ List)
⊢ mFOL-boundvars(mFOL-rename(left;old;new)) ⋃ mFOL-boundvars(mFOL-rename(right;old;new))
= mFOL-boundvars(left) ⋃ mFOL-boundvars(right)
∈ (ℤ List)
BY
{ (EqCD THEN Auto) }

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Latex:

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Latex:

1.  old  :  \mBbbZ{}
2.  new  :  \mBbbZ{}
3.  knd  :  Atom
4.  left  :  mFOL()
5.  right  :  mFOL()
6.  mFOL-boundvars(mFOL-rename(left;old;new))  =  mFOL-boundvars(left)
7.  mFOL-boundvars(mFOL-rename(right;old;new))  =  mFOL-boundvars(right)
\mvdash{}  mFOL-boundvars(mFOL-rename(left;old;new))  \mcup{}  mFOL-boundvars(mFOL-rename(right;old;new))
=  mFOL-boundvars(left)  \mcup{}  mFOL-boundvars(right)


By

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Latex:
(EqCD  THEN  Auto)

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