Nuprl Lemma : mFOL-sequent-freevars_wf
∀[s:mFOL-sequent()]. (mFOL-sequent-freevars(s) ∈ ℤ List)
Proof
Definitions occuring in Statement : 
mFOL-sequent-freevars: mFOL-sequent-freevars(s)
, 
mFOL-sequent: mFOL-sequent()
, 
list: T List
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
int: ℤ
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
mFOL-sequent-freevars: mFOL-sequent-freevars(s)
, 
mFOL-sequent: mFOL-sequent()
Lemmas referenced : 
reduce_wf, 
mFOL_wf, 
list_wf, 
l-union_wf, 
int-deq_wf, 
mFOL-freevars_wf, 
mFOL-sequent_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation, 
introduction, 
cut, 
sqequalRule, 
spreadEquality, 
sqequalHypSubstitution, 
hypothesisEquality, 
lemma_by_obid, 
isectElimination, 
thin, 
hypothesis, 
intEquality, 
lambdaEquality, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry
Latex:
\mforall{}[s:mFOL-sequent()].  (mFOL-sequent-freevars(s)  \mmember{}  \mBbbZ{}  List)
Date html generated:
2016_05_15-PM-10_26_04
Last ObjectModification:
2015_12_27-PM-06_27_08
Theory : minimal-first-order-logic
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