Nuprl Lemma : polynomial-mon-vars_wf
∀[init:ℤ List List]. ∀[p:(Top × (ℤ List)) List]. (polynomial-mon-vars(init;p) ∈ ℤ List List)
Proof
Definitions occuring in Statement :
polynomial-mon-vars: polynomial-mon-vars(init;p),
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
product: x:A × B[x],
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
polynomial-mon-vars: polynomial-mon-vars(init;p),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
list_accum_wf,
top_wf,
list_wf,
insert_wf,
list-deq_wf,
int-deq_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
productEquality,
hypothesis,
intEquality,
hypothesisEquality,
lambdaEquality,
spreadEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[init:\mBbbZ{} List List]. \mforall{}[p:(Top \mtimes{} (\mBbbZ{} List)) List]. (polynomial-mon-vars(init;p) \mmember{} \mBbbZ{} List List)
Date html generated:
2016_05_14-AM-07_09_57
Last ObjectModification:
2015_12_26-PM-01_07_33
Theory : omega
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