Nuprl Definition : bounded-sequence

bounded-sequence(n.x[n]) ==  ∃b:ℝ. ∀n:ℕ. (|x[n]| ≤ b)



Definitions occuring in Statement :  rleq: x ≤ y,  rabs: |x|,  real: ℝ,  nat: ℕ,  all: ∀x:A. B[x],  exists: ∃x:A. B[x]
Definitions occuring in definition :  exists: ∃x:A. B[x],  real: ℝ,  all: ∀x:A. B[x],  nat: ℕ,  rleq: x ≤ y,  rabs: |x|
FDL editor aliases :  bounded-sequence bounded-sequence

Latex:
bounded-sequence(n.x[n])  ==    \mexists{}b:\mBbbR{}.  \mforall{}n:\mBbbN{}.  (|x[n]|  \mleq{}  b)



Date html generated: 2016_05_18-AM-07_37_00
Last ObjectModification: 2015_09_23-AM-09_02_09

Theory : reals


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