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Definition of locally bounded process is on http://planetmath.org/encyclopedia/LocallyBoundedProcess.html

On that website, it says any discrete-time predictable process is locally bounded. How can I prove this? Why this is not true for continuous-time predictable process? How about if I add in "Usual condition" (i.e. complete, right continuous filtration.)

Can I say any Cadlag process is locally bounded?

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