Nuprl Lemma : int-vec-mul_wf
∀[a:ℤ]. ∀[as:ℤ List]. (a * as ∈ ℤ List)
Proof
Definitions occuring in Statement :
int-vec-mul: a * as,
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,
int-vec-mul: a * as
Lemmas referenced :
map_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,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[a:\mBbbZ{}]. \mforall{}[as:\mBbbZ{} List]. (a * as \mmember{} \mBbbZ{} List)
Date html generated:
2016_05_14-AM-06_56_28
Last ObjectModification:
2015_12_26-PM-01_14_48
Theory : omega
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