Nuprl Lemma : null_wf3
∀[as:Top List]. (null(as) ∈ 𝔹)
Proof
Definitions occuring in Statement :
null: null(as),
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
null_wf,
top_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
hypothesisEquality,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[as:Top List]. (null(as) \mmember{} \mBbbB{})
Date html generated:
2016_05_15-PM-03_40_33
Last ObjectModification:
2015_12_27-PM-01_16_54
Theory : general
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