can you create a wallet with one app, and restore to other?

[razorseal]

Hey guys...

Curious if this would work. I would assume so, but I'm not sure...

Let's say I create a wallet on mycelium, I get my private key and then my 12 word passphrase.

Later I decide I want to use exodus, or trezor, or whatever...

Can I click restore, use the passphrase I have from mycelium, and restore my private key to exodus? (or another wallet).

or are the passphrases proprietary to each software?

Thanks!