Nuprl Definition : is-infinitesmal

is-infinitesmal(x) ==  ∀n:ℕ+. |x| < ((r1/r(n)))*



Definitions occuring in Statement :  rstar: (x)*,  rless*: x < y,  rabs*: |x|,  rdiv: (x/y),  int-to-real: r(n),  nat_plus: ℕ+,  all: ∀x:A. B[x],  natural_number: $n
Definitions occuring in definition :  all: ∀x:A. B[x],  nat_plus: ℕ+,  rless*: x < y,  rabs*: |x|,  rstar: (x)*,  rdiv: (x/y),  natural_number: $n,  int-to-real: r(n)
FDL editor aliases :  is-infinitesmal

Latex:
is-infinitesmal(x)  ==    \mforall{}n:\mBbbN{}\msupplus{}.  |x|  <  ((r1/r(n)))*



Date html generated: 2018_05_22-PM-09_28_46
Last ObjectModification: 2017_10_06-PM-03_58_53

Theory : reals_2


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