Nuprl Definition : ubar

ubar(T;X) ==  ∃k:ℕ. ∀f:ℕ ⟶ T. ∃n:ℕk. (X map(f;upto(n)))



Definitions occuring in Statement :  upto: upto(n) map: map(f;as) int_seg: {i..j-} nat: all: x:A. B[x] exists: x:A. B[x] apply: a function: x:A ⟶ B[x] natural_number: $n
Definitions occuring in definition :  all: x:A. B[x] function: x:A ⟶ B[x] nat: exists: x:A. B[x] int_seg: {i..j-} natural_number: $n apply: a map: map(f;as) upto: upto(n)
FDL editor aliases :  ubar

Latex:
ubar(T;X)  ==    \mexists{}k:\mBbbN{}.  \mforall{}f:\mBbbN{}  {}\mrightarrow{}  T.  \mexists{}n:\mBbbN{}k.  (X  map(f;upto(n)))



Date html generated: 2016_05_14-PM-04_09_15
Last ObjectModification: 2015_09_22-PM-06_02_15

Theory : fan-theorem


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