Nuprl Definition : real-interval-lattice
real-interval-lattice(I) ==  mk-distributive-lattice({r:ℝ| r ∈ I}  λ2x y.rmin(x;y); λ2x y.rmax(x;y))
Definitions occuring in Statement : 
i-member: r ∈ I
, 
rmin: rmin(x;y)
, 
rmax: rmax(x;y)
, 
real: ℝ
, 
so_lambda: λ2x y.t[x; y]
, 
set: {x:A| B[x]} 
, 
mk-distributive-lattice: mk-distributive-lattice(T; m; j)
FDL editor aliases : 
real-interval-lattice
Latex:
real-interval-lattice(I)  ==    mk-distributive-lattice(\{r:\mBbbR{}|  r  \mmember{}  I\}  ;  \mlambda{}\msubtwo{}x  y.rmin(x;y);  \mlambda{}\msubtwo{}x  y.rmax(x;y)\000C)
Date html generated:
2020_05_20-AM-11_34_25
Last ObjectModification:
2020_01_16-PM-03_29_08
Theory : reals
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