Nuprl Lemma : segment_wf
∀[T:Type]. ∀[as:T List]. ∀[m,n:ℤ]. (as[m..n-] ∈ T List)
Proof
Definitions occuring in Statement :
segment: as[m..n-],
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
segment: as[m..n-]
Lemmas referenced :
firstn_wf,
nth_tl_wf,
subtract_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
intEquality,
Error :universeIsType,
because_Cache,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[as:T List]. \mforall{}[m,n:\mBbbZ{}]. (as[m..n\msupminus{}] \mmember{} T List)
Date html generated:
2019_06_20-PM-00_43_16
Last ObjectModification:
2018_09_26-PM-02_05_58
Theory : list_0
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