Nuprl Definition : rset

Set(ℝ==  {A:ℝ ⟶ ℙ| ∀x,y:ℝ.  ((x y)  (A x)  (A y))} 



Definitions occuring in Statement :  req: y real: prop: all: x:A. B[x] implies:  Q set: {x:A| B[x]}  apply: a function: x:A ⟶ B[x]
Definitions occuring in definition :  set: {x:A| B[x]}  function: x:A ⟶ B[x] prop: all: x:A. B[x] real: req: y implies:  Q apply: a
FDL editor aliases :  rset rset

Latex:
Set(\mBbbR{})  ==    \{A:\mBbbR{}  {}\mrightarrow{}  \mBbbP{}|  \mforall{}x,y:\mBbbR{}.    ((x  =  y)  {}\mRightarrow{}  (A  x)  {}\mRightarrow{}  (A  y))\} 



Date html generated: 2016_05_18-AM-08_07_09
Last ObjectModification: 2015_09_23-AM-09_03_34

Theory : reals


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