LexiLupin:Talk to both of your insurance people, but if you're covered under his, I don't see why not.. unless the military has some weird regulation about active duty members being seen on post/through the Tricare system. Your coverage through Tricare might be better (in terms of copays and deductibles) of course.
The military does actually have issues with AD members doing that. The coverage you have is not the same as a dependent. You can, however, ask to be referred to an off post OB.
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Your ins, is primary on you - being you are the AD- Tricare comes first on you then his is secondary.
I have the same situation, but mine is the other ins is primary on me and tricare is secondary thru my dh.