Nuprl Definition : bounded-type
Bounded(T) == ∀K:T ⟶ ℕ. (∃B:ℕ [(∀t:T. ((K t) ≤ B))])
Definitions occuring in Statement :
nat: ℕ
,
le: A ≤ B
,
all: ∀x:A. B[x]
,
sq_exists: ∃x:A [B[x]]
,
apply: f a
,
function: x:A ⟶ B[x]
Definitions occuring in definition :
apply: f a
,
le: A ≤ B
,
all: ∀x:A. B[x]
,
nat: ℕ
,
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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