Nuprl Definition : sublevelset

sublevelset(I;f;c) ==  λx.((x ∈ I) ∧ (f(x) ≤ c))



Definitions occuring in Statement :  r-ap: f(x) i-member: r ∈ I rleq: x ≤ y and: P ∧ Q lambda: λx.A[x]
Definitions occuring in definition :  lambda: λx.A[x] and: P ∧ Q i-member: r ∈ I rleq: x ≤ y r-ap: f(x)
FDL editor aliases :  sublevelset

Latex:
sublevelset(I;f;c)  ==    \mlambda{}x.((x  \mmember{}  I)  \mwedge{}  (f(x)  \mleq{}  c))



Date html generated: 2016_05_18-AM-08_50_50
Last ObjectModification: 2015_09_23-AM-09_08_06

Theory : reals


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