Nuprl Lemma : ml_match_nil_wf
∀[T:Type]. ∀[e:Top List]. ∀[t:T]. (ml_match_nil(e;t) ∈ 𝔹 × T)
Proof
Definitions occuring in Statement :
ml_match_nil: ml_match_nil(e;t),
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ml_match_nil: ml_match_nil(e;t)
Lemmas referenced :
null_wf,
top_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
independent_pairEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[e:Top List]. \mforall{}[t:T]. (ml\_match\_nil(e;t) \mmember{} \mBbbB{} \mtimes{} T)
Date html generated:
2017_09_29-PM-05_50_52
Last ObjectModification:
2017_05_08-PM-04_18_24
Theory : ML
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