Nuprl Lemma : real-cube_wf
∀[k:ℕ]. (real-cube(k) ∈ Type)
Proof
Definitions occuring in Statement : 
real-cube: real-cube(k)
, 
nat: ℕ
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
real-cube: real-cube(k)
Lemmas referenced : 
real-vec_wf, 
istype-nat
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation_alt, 
introduction, 
cut, 
sqequalRule, 
productEquality, 
extract_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
hypothesisEquality, 
hypothesis, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry
Latex:
\mforall{}[k:\mBbbN{}].  (real-cube(k)  \mmember{}  Type)
Date html generated:
2019_10_30-AM-11_30_58
Last ObjectModification:
2019_09_27-PM-00_41_55
Theory : real!vectors
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