Provide enlightenment and exalt leader stepping down (5)

I believe the answer is:

edify

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'provide enlightenment' is the definition.

I don't understand the rest of the clue.

(Other definitions for edify that I've seen before include "Strengthen spiritually" , "improve mentally" , "Tutor" , "Enlighten" , "Educate, uplift" .)

I've seen this clue in The Guardian.

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