For a closer, it's a save only if the lead is 3 runs or less. It's not just "if had lead until end". I know what baseball terminology is, I played baseball. Technically there's also saves for entering the game with the tying run at the plate or on-deck or pitching the last 3+ innings, but either way it's not just simply the last guy to pitch. Typically the most common save for a short appearance is one inning with a lead of not more than 3. Also a "closer" is not simply the last guy to pitch, it's just a term for the relief pitcher on a team most trusted to close out close games, typically in a SAVE situation.