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rfunction_1
Nuprl Section: rfunction_1

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COMrfunction_com2 The '{f | x:A  B}' type is the type of functions with domain 'A' and range type 'B(f,x)' on argument 'x', where 'f' is the function itself. ...
deffincr FIncr == {f | i:  if i=0  else {f(i-1)...} fi}
COMfincr_wf_com Note that is this case, we use a supertype of the range to prove that 'FIncr' is well formed. Then, in the prove of wf, we show that 'f' with a restricted domain lies in the type ''. Afterwards, we use the fact that 'f(i ' for an unrestricted range. We are duplicating work.
THMfincr_formation FIncr
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Origin Definitions Sections StandardLIB Doc