Nuprl Lemma : mul-list_wf
∀[ns:ℤ List]. (Π(ns) ∈ ℤ)
Proof
Definitions occuring in Statement :
mul-list: Π(ns) ,
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,
mul-list: Π(ns)
Lemmas referenced :
reduce_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
lambdaEquality,
multiplyEquality,
hypothesisEquality,
natural_numberEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[ns:\mBbbZ{} List]. (\mPi{}(ns) \mmember{} \mBbbZ{})
Date html generated:
2016_05_15-PM-04_01_38
Last ObjectModification:
2015_12_27-PM-03_05_08
Theory : general
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