Safety: Leader Completeness
The key guarantee: a leader always has all committed entries.
Proof sketch: suppose entry (term T, index I) is committed by leader L. It was replicated to a majority M. Any future leader must win a majority election — at least one node in M must grant its vote. That node will only vote for a candidate with a log at least as current as its own, which includes entry (T, I). By induction, future leaders always have all committed entries.
This means no committed entry is ever lost.