Nuprl Definition : rat-cube-faces
rat-cube-faces(k;c) ==  concat(mapfilter(λj.[lower-rc-face(c;j); upper-rc-face(c;j)];λj.(dim(c j) =z 1);upto(k)))
Definitions occuring in Statement : 
upper-rc-face: upper-rc-face(c;j)
, 
lower-rc-face: lower-rc-face(c;j)
, 
rat-interval-dimension: dim(I)
, 
upto: upto(n)
, 
mapfilter: mapfilter(f;P;L)
, 
concat: concat(ll)
, 
cons: [a / b]
, 
nil: []
, 
eq_int: (i =z j)
, 
apply: f a
, 
lambda: λx.A[x]
, 
natural_number: $n
Definitions occuring in definition : 
upto: upto(n)
, 
natural_number: $n
, 
apply: f a
, 
rat-interval-dimension: dim(I)
, 
eq_int: (i =z j)
, 
lambda: λx.A[x]
, 
nil: []
, 
upper-rc-face: upper-rc-face(c;j)
, 
cons: [a / b]
, 
lower-rc-face: lower-rc-face(c;j)
, 
mapfilter: mapfilter(f;P;L)
, 
concat: concat(ll)
FDL editor aliases : 
rat-cube-faces
Latex:
rat-cube-faces(k;c)  ==
    concat(mapfilter(\mlambda{}j.[lower-rc-face(c;j);  upper-rc-face(c;j)];\mlambda{}j.(dim(c  j)  =\msubz{}  1);upto(k)))
Date html generated:
2019_10_29-AM-07_57_07
Last ObjectModification:
2019_10_17-PM-05_22_54
Theory : rationals
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