Nuprl Lemma : streamless_wf
∀[T:Type]. (streamless(T) ∈ ℙ)
Proof
Definitions occuring in Statement :
streamless: streamless(T),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
streamless: streamless(T),
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
all_wf,
nat_wf,
exists_wf,
and_wf,
not_wf,
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
functionEquality,
hypothesis,
hypothesisEquality,
lambdaEquality,
applyEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (streamless(T) \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-07_39_30
Last ObjectModification:
2015_12_27-AM-11_14_36
Theory : general
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