Nuprl Lemma : unit-ball-approx_wf
∀[n,k:ℕ]. (unit-ball-approx(n;k) ∈ Type)
Proof
Definitions occuring in Statement :
unit-ball-approx: unit-ball-approx(n;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,
unit-ball-approx: unit-ball-approx(n;k),
nat: ℕ,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
int_seg: {i..j-},
so_apply: x[s],
prop: ℙ
Lemmas referenced :
int_seg_wf,
le_wf,
sum_wf,
istype-nat
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
setEquality,
functionEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
setElimination,
rename,
hypothesisEquality,
hypothesis,
minusEquality,
addEquality,
because_Cache,
lambdaEquality_alt,
applyEquality,
inhabitedIsType,
equalityTransitivity,
equalitySymmetry,
universeIsType,
multiplyEquality,
axiomEquality,
isect_memberEquality_alt,
isectIsTypeImplies
Latex:
\mforall{}[n,k:\mBbbN{}]. (unit-ball-approx(n;k) \mmember{} Type)
Date html generated:
2019_10_30-AM-11_28_01
Last ObjectModification:
2019_06_28-PM-01_56_05
Theory : real!vectors
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