Is any FV-Process a special Semimartingale?

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Any FV-Process can be represented as the difference of two increasing (or decreasing) processes and so any FV-Process is a quasimartingale. Due to Raos Theorem any FV-Process is a special semimartingale.

Is this statement correct or did I make a mistake? If it's correct, can this statement be deducted easier or is it just trivial and I haven't seen this?

I would be very grateful if you helped me.

Thanks in advance.