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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