Nuprl Definition : infn
infn(n;I) ==  primrec(n;λf.(f ⋅);λi,r,f. inf{r (λa.(f a++z)) | z ∈ I})
Definitions occuring in Statement : 
real-vec-extend: a++z
, 
range_inf: inf{f[x] | x ∈ I}
, 
primrec: primrec(n;b;c)
, 
it: ⋅
, 
apply: f a
, 
lambda: λx.A[x]
Definitions occuring in definition : 
primrec: primrec(n;b;c)
, 
it: ⋅
, 
range_inf: inf{f[x] | x ∈ I}
, 
lambda: λx.A[x]
, 
apply: f a
, 
real-vec-extend: a++z
FDL editor aliases : 
infn
Latex:
infn(n;I)  ==    primrec(n;\mlambda{}f.(f  \mcdot{});\mlambda{}i,r,f.  inf\{r  (\mlambda{}a.(f  a++z))  |  z  \mmember{}  I\})
Date html generated:
2019_10_30-AM-08_23_44
Last ObjectModification:
2019_05_28-PM-03_11_45
Theory : reals
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