First signing for attorney in fact - Question

Hi,

Tomorrow, I have my first signing where someone will be using a POA to sign on behalf of someone. I’m pretty sure I know the answer already but just wanted confirmation:

There are two signers, 1 will be present (Jane Doe). John Doe will need be be signed by Jane. Jane would just sign her name as usual, but for John, the docs say John Doe by Jane Doe, his Attorney-In-Fact. I believe all that needs to happen is that Jane signs for John with the exact verbiage that is in the docs, so, “John Doe by Jane Doe, his Attorney-In-Fact” on the line, correct?