Nuprl Lemma : vnil_wf
∀[T:Type]. (vnil() ∈ vec(T;0))
Proof
Definitions occuring in Statement :
vnil: vnil(),
vec: vec(T;n),
uall: ∀[x:A]. B[x],
member: t ∈ T,
natural_number: $n,
universe: Type
Definitions unfolded in proof :
vec: vec(T;n),
uall: ∀[x:A]. B[x],
member: t ∈ T,
vnil: vnil(),
prop: ℙ
Lemmas referenced :
length_of_nil_lemma,
nil_wf,
equal-wf-T-base,
length_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
hypothesis,
natural_numberEquality,
dependent_set_memberEquality,
sqequalHypSubstitution,
isectElimination,
thin,
cumulativity,
hypothesisEquality,
intEquality,
baseClosed,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (vnil() \mmember{} vec(T;0))
Date html generated:
2017_04_17-AM-09_15_36
Last ObjectModification:
2017_02_27-PM-05_21_05
Theory : decidable!equality
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