Nuprl Definition : conditional 11,40

[Pf : g](x) == if p:P(x) then f(x) else g(x) fi  
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clarification:

conditional(P;dcd_P;f;g)(x) == branch(P(x);dcd_P(x);p.f(x);g(x)) 
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Definitionsx.A(x), if p:P then A(p) else B fi , f(a)
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