Nuprl Lemma : mFOL-boundvars_wf
∀[fmla:mFOL()]. (mFOL-boundvars(fmla) ∈ ℤ List)
Proof
Definitions occuring in Statement : 
mFOL-boundvars: mFOL-boundvars(fmla)
, 
mFOL: mFOL()
, 
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-boundvars: mFOL-boundvars(fmla)
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
so_lambda: so_lambda(x,y,z,w,v.t[x; y; z; w; v])
, 
so_apply: x[s1;s2;s3;s4;s5]
, 
so_lambda: so_lambda(x,y,z,w.t[x; y; z; w])
, 
so_apply: x[s1;s2;s3;s4]
Lemmas referenced : 
mFOL_ind_wf_simple, 
list_wf, 
nil_wf, 
l-union_wf, 
int-deq_wf, 
mFOL_wf, 
insert_wf, 
bool_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation, 
introduction, 
cut, 
sqequalRule, 
lemma_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
intEquality, 
hypothesis, 
hypothesisEquality, 
lambdaEquality, 
atomEquality, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry
Latex:
\mforall{}[fmla:mFOL()].  (mFOL-boundvars(fmla)  \mmember{}  \mBbbZ{}  List)
Date html generated:
2016_05_15-PM-10_14_50
Last ObjectModification:
2015_12_27-PM-06_32_15
Theory : minimal-first-order-logic
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