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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