Nuprl Definition : strict-upper-bound
A < b ==  ∀x:ℝ. ((x ∈ A) 
⇒ (x < b))
Definitions occuring in Statement : 
rset-member: x ∈ A
, 
rless: x < y
, 
real: ℝ
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
Definitions occuring in definition : 
all: ∀x:A. B[x]
, 
real: ℝ
, 
implies: P 
⇒ Q
, 
rset-member: x ∈ A
, 
rless: x < y
FDL editor aliases : 
strict-upper-bound
strict-upper-bound
Latex:
A  <  b  ==    \mforall{}x:\mBbbR{}.  ((x  \mmember{}  A)  {}\mRightarrow{}  (x  <  b))
Date html generated:
2016_05_18-AM-08_09_01
Last ObjectModification:
2015_09_23-AM-09_04_02
Theory : reals
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