Nuprl Lemma : new-mFO-var_wf
∀[H:mFOL() List]. (new-mFO-var(H) ∈ ℤ)
Proof
Definitions occuring in Statement :
new-mFO-var: new-mFO-var(H),
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,
new-mFO-var: new-mFO-var(H),
so_lambda: λ2x y.t[x; y],
uimplies: b supposing a,
callbyvalueall: callbyvalueall,
has-value: (a)↓,
has-valueall: has-valueall(a),
so_apply: x[s1;s2]
Lemmas referenced :
list_accum_wf,
mFOL_wf,
valueall-type-has-valueall,
list_wf,
list-valueall-type,
int-valueall-type,
mFOL-freevars_wf,
evalall-reduce,
value-type-has-value,
int-value-type,
bigger-int_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
intEquality,
hypothesisEquality,
natural_numberEquality,
lambdaEquality,
independent_isectElimination,
callbyvalueReduce,
because_Cache,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[H:mFOL() List]. (new-mFO-var(H) \mmember{} \mBbbZ{})
Date html generated:
2016_05_15-PM-10_31_02
Last ObjectModification:
2015_12_27-PM-06_24_13
Theory : minimal-first-order-logic
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