Nuprl Lemma : and-poly-constraints_wf
∀[Xs,Ys:polynomial-constraints() List]. (and-poly-constraints(Xs;Ys) ∈ polynomial-constraints() List)
Proof
Definitions occuring in Statement :
and-poly-constraints: and-poly-constraints(Xs;Ys),
polynomial-constraints: polynomial-constraints(),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
and-poly-constraints: and-poly-constraints(Xs;Ys),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
list_accum_wf,
polynomial-constraints_wf,
list_wf,
nil_wf,
cons_wf,
combine-pcs_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
hypothesisEquality,
lambdaEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[Xs,Ys:polynomial-constraints() List].
(and-poly-constraints(Xs;Ys) \mmember{} polynomial-constraints() List)
Date html generated:
2016_05_14-AM-07_08_16
Last ObjectModification:
2015_12_26-PM-01_08_00
Theory : omega
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