The last line of a proof represents the given information (choose the correct answer):

Step 1: Define the Problem

Identify the key components of the question that need to be addressed: Determine what the last line of a proof typically represents in the context of logical reasoning or mathematical proofs.

Step 2: Break Down the Problem

Divide the problem into smaller, manageable parts:

• Understand the structure of a proof.
• Identify the role of the last line in a proof.

Step 3: Apply Relevant Concepts

Use appropriate academic theories or formulas to solve each part of the problem:

• In a proof, the last line generally represents the conclusion or the statement that has been proven based on the given information and logical deductions.

Step 4: Analysis, Verify and Summarize

Analysis each part in details if necessary carry out the calculations by steps. Verify the calculations result and summarize the findings:

• The last line of a proof is not merely a restatement of the given information; rather, it is the conclusion that logically follows from the premises and the steps taken in the proof.

Final Answer

The last line of a proof represents the conclusion or the statement that has been proven, not the given information.