1. The problem asks to determine if there is an error in the logical proof about the outcome of a hockey game between Team 1 and Team 2. 2. The statements are: - Step 1: Team 1 played a hockey game against Team 2. - Step 2: Team 1 did not win. - Step 3: Team 2 did not lose. - Step 4: Team 2 won. 3. Let's analyze the logic: - From Step 1, the game was played between Team 1 and Team 2. - Step 2 says Team 1 did not win, so Team 1 either lost or tied. - Step 3 says Team 2 did not lose, so Team 2 either won or tied. 4. Combining Step 2 and Step 3: - Team 1 did not win (lost or tied). - Team 2 did not lose (won or tied). 5. Step 4 claims Team 2 won. 6. The error is in Step 4 because from Steps 2 and 3, the game could have ended in a tie, so Team 2 winning is not guaranteed. 7. Therefore, the first error occurs at Step 4. **Final answer:** Step 4 is the first step with an error.