Nuprl Definition : full-ss-cat

full-ss-cat{i:l}() ==  Cat(ob = SeparationSpace;arrow(X,Y) = {f:Point(X) ⟶ Point(Y)| ss-function(X;Y;f)} ;id(X) = λp.p;\000Ccomp(X,Y,Z,f,g) = g o f)



Definitions occuring in Statement :  ss-function: ss-function(X;Y;f),  ss-point: Point(ss),  separation-space: SeparationSpace,  mk-cat: mk-cat,  compose: f o g,  set: {x:A| B[x]} ,  lambda: λx.A[x],  function: x:A ⟶ B[x]
Definitions occuring in definition :  mk-cat: mk-cat,  separation-space: SeparationSpace,  set: {x:A| B[x]} ,  function: x:A ⟶ B[x],  ss-point: Point(ss),  ss-function: ss-function(X;Y;f),  lambda: λx.A[x],  compose: f o g
FDL editor aliases :  full-ss-cat

Latex:
full-ss-cat\{i:l\}()  ==
    Cat(ob  =  SeparationSpace;
            arrow(X,Y)  =  \{f:Point(X)  {}\mrightarrow{}  Point(Y)|  ss-function(X;Y;f)\}  ;
            id(X)  =  \mlambda{}p.p;
            comp(X,Y,Z,f,g)  =  g  o  f)



Date html generated: 2019_10_31-AM-07_27_41
Last ObjectModification: 2019_03_19-PM-03_43_04

Theory : constructive!algebra


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