Nuprl Definition : real-cube-boundary
real-cube-boundary(n;a;b) == {p:ℝ^n| (∀i:ℕn. (p i ∈ [a i, b i])) ∧ (¬(∀i:ℕn. (p i ∈ (a i, b i))))}
Definitions occuring in Statement :
real-vec: ℝ^n,
rooint: (l, u),
rccint: [l, u],
i-member: r ∈ I,
int_seg: {i..j-},
all: ∀x:A. B[x],
not: ¬A,
and: P ∧ Q,
set: {x:A| B[x]} ,
apply: f a,
natural_number: $n
Definitions occuring in definition :
apply: f a,
rooint: (l, u),
i-member: r ∈ I,
natural_number: $n,
int_seg: {i..j-},
all: ∀x:A. B[x],
not: ¬A,
rccint: [l, u],
and: P ∧ Q,
real-vec: ℝ^n,
set: {x:A| B[x]}
FDL editor aliases :
real-cube-boundary
Latex:
real-cube-boundary(n;a;b) == \{p:\mBbbR{}\^{}n| (\mforall{}i:\mBbbN{}n. (p i \mmember{} [a i, b i])) \mwedge{} (\mneg{}(\mforall{}i:\mBbbN{}n. (p i \mmember{} (a i, b i))))\}
Date html generated:
2019_11_06-PM-00_35_57
Last ObjectModification:
2019_11_05-AM-11_08_08
Theory : real!vectors
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