Nuprl Lemma : list_n_properties
∀[A:Type]. ∀[n:ℤ]. ∀[as:A List(n)]. (||as|| = n ∈ ℤ)
Proof
Definitions occuring in Statement :
list_n: A List(n),
length: ||as||,
uall: ∀[x:A]. B[x],
int: ℤ,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
list_n: A List(n)
Lemmas referenced :
list_n_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalHypSubstitution,
setElimination,
thin,
rename,
hypothesis,
lemma_by_obid,
isectElimination,
hypothesisEquality,
sqequalRule,
isect_memberEquality,
axiomEquality,
because_Cache,
intEquality,
universeEquality
Latex:
\mforall{}[A:Type]. \mforall{}[n:\mBbbZ{}]. \mforall{}[as:A List(n)]. (||as|| = n)
Date html generated:
2016_05_14-AM-07_40_25
Last ObjectModification:
2015_12_26-PM-02_51_03
Theory : list_1
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