Nuprl Lemma : int_term_to_rP_wf
∀[t:int_term()]. (int_term_to_rP(t) ∈ ℤ List)
Proof
Definitions occuring in Statement :
int_term_to_rP: int_term_to_rP(t),
int_term: int_term(),
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,
int_term_to_rP: int_term_to_rP(t),
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]),
so_apply: x[s1;s2;s3;s4],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
int_term_ind_wf_simple,
list_wf,
cons_wf,
nil_wf,
eager-append_wf,
int_term_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
hypothesis,
hypothesisEquality,
lambdaEquality,
because_Cache,
natural_numberEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[t:int\_term()]. (int\_term\_to\_rP(t) \mmember{} \mBbbZ{} List)
Date html generated:
2017_09_29-PM-05_54_41
Last ObjectModification:
2017_05_12-PM-11_30_32
Theory : omega
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