Nuprl Definition : bounded-type

Bounded(T) ==  ∀K:T ⟶ ℕ(∃B:ℕ [(∀t:T. ((K t) ≤ B))])



Definitions occuring in Statement :  nat: le: A ≤ B all: x:A. B[x] sq_exists: x:A [B[x]] apply: a function: x:A ⟶ B[x]
Definitions occuring in definition :  apply: a le: A ≤ B all: x:A. B[x] nat: sq_exists: x:A [B[x]] function: x:A ⟶ B[x]
FDL editor aliases :  bounded-type bounded-type

Latex:
Bounded(T)  ==    \mforall{}K:T  {}\mrightarrow{}  \mBbbN{}.  (\mexists{}B:\mBbbN{}  [(\mforall{}t:T.  ((K  t)  \mleq{}  B))])



Date html generated: 2019_10_15-AM-10_20_05
Last ObjectModification: 2019_10_07-PM-04_38_16

Theory : bar-induction


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