Nuprl Lemma : ml_insert_int_wf
∀[l:ℤ List]. ∀[x:ℤ]. (ml_insert_int(x;l) ∈ ℤ List)
Proof
Definitions occuring in Statement :
ml_insert_int: ml_insert_int(x;l),
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,
uimplies: b supposing a
Lemmas referenced :
ml_insert_int-sq,
insert-int_wf,
subtype_rel_self,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
intEquality,
independent_isectElimination,
because_Cache,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality
Latex:
\mforall{}[l:\mBbbZ{} List]. \mforall{}[x:\mBbbZ{}]. (ml\_insert\_int(x;l) \mmember{} \mBbbZ{} List)
Date html generated:
2017_09_29-PM-05_51_21
Last ObjectModification:
2017_05_11-PM-03_25_29
Theory : ML
Home
Index