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My textbook says:

Oxygen is assigned an oxidation number of $+1$ in oxygen difluoride. The number assigned to each Oxygen atom will depend upon the bonding state of oxygen but this number would now be a positive figure only.

Can there be multiple bonding states for oxygen in oxygen difluoride?

What can be the oxidation state of each oxygen atom in oxygen difluoride?

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Oxygen difluoride $\ce{OF2}$ has a single oxygen atom. You must mean dioxygen difluoride $\ce{O2F2}$.

The rules are the same as for hydrogen peroxide.

Both oxygen atoms in $\ce{O2F2}$ are equivalent, so their oxidation number is +1.

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