Step
*
of Lemma
mFOL-sequent-freevars-subset-3
∀hyps:mFOL() List. ∀x,y:mFOL().  (mFOL-freevars(x) ⊆ mFOL-freevars(y) 
⇒ mFOL-sequent-freevars(<hyps, x>) ⊆ mFOL-sequent\000C-freevars(<hyps, y>))
BY
{ (Auto THEN BLemma `mFOL-sequent-freevars-subset-4` THEN Auto) }
Latex:
Latex:
\mforall{}hyps:mFOL()  List.  \mforall{}x,y:mFOL().
    (mFOL-freevars(x)  \msubseteq{}  mFOL-freevars(y)  {}\mRightarrow{}  mFOL-sequent-freevars(<hyps,  x>)  \msubseteq{}  mFOL-sequent-freevars(<\000Chyps,  y>))
By
Latex:
(Auto  THEN  BLemma  `mFOL-sequent-freevars-subset-4`  THEN  Auto)
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