Nuprl Lemma : empty-bag-wf-list-test
∀[T:Type]. ({} ∈ T List)
Proof
Definitions occuring in Statement :
empty-bag: {},
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
empty-bag: {},
nil: [],
it: ⋅
Lemmas referenced :
nil_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
cumulativity,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (\{\} \mmember{} T List)
Date html generated:
2016_05_15-PM-02_21_43
Last ObjectModification:
2015_12_27-AM-09_55_21
Theory : bags
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