Nuprl Lemma : qv-dim_wf
∀[as:Top List]. (dimension(as) ∈ ℕ)
Proof
Definitions occuring in Statement :
qv-dim: dimension(as),
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
qv-dim: dimension(as)
Lemmas referenced :
length_wf_nat,
top_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[as:Top List]. (dimension(as) \mmember{} \mBbbN{})
Date html generated:
2016_05_15-PM-11_19_58
Last ObjectModification:
2015_12_27-PM-07_33_33
Theory : rationals
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