What does "I'm sorry for your loss" mean?

I'm deeply sorry for your loss.

Description: section: moderation; Change: events. Suppress sadness and adapt to change. Words used to express condolences to the families of the deceased.

From: "Book of Rites under Tan Gong": "The mourning is greater than the death of the heart; I'm deeply sorry for your loss. Read the gentleman at the beginning. "

Example: my brother ~, save Jin Yu's body.

◎ Qing anonymous "Two episodes of West Lake, Sprinkling Snow Hall and Skillful Marriage"

Grammar: combination; As predicate and object; Condolences to the families of the deceased.