Nuprl Lemma : imonomial-term_wf
∀[m:ℤ × (ℤ List)]. (imonomial-term(m) ∈ int_term())
Proof
Definitions occuring in Statement :
imonomial-term: imonomial-term(m),
int_term: int_term(),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
imonomial-term: imonomial-term(m),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
list_accum_wf,
int_term_wf,
itermConstant_wf,
itermMultiply_wf,
itermVar_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
spreadEquality,
hypothesisEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
hypothesis,
lambdaEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
productEquality
Latex:
\mforall{}[m:\mBbbZ{} \mtimes{} (\mBbbZ{} List)]. (imonomial-term(m) \mmember{} int\_term())
Date html generated:
2016_05_14-AM-07_00_35
Last ObjectModification:
2015_12_26-PM-01_12_00
Theory : omega
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