Nuprl Lemma : islist_wf
∀[t:Base]. (islist(t) ∈ ℙ)
Proof
Definitions occuring in Statement :
islist: islist(t),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
islist: islist(t)
Lemmas referenced :
base_wf,
has-value_wf_base
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[t:Base]. (islist(t) \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-10_07_15
Last ObjectModification:
2016_01_16-PM-04_08_44
Theory : eval!all
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