1. Let's start by understanding what a proof is: a logical argument that demonstrates the truth of a mathematical statement. 2. To solve a proof, first clearly state the proposition or theorem you want to prove. 3. Identify the given information and what needs to be shown. 4. Use definitions, axioms, previously proven theorems, and logical deductions to build your argument step-by-step. 5. Each step should follow logically from the previous ones, ensuring no gaps in reasoning. 6. Conclude by summarizing how the steps prove the original statement. If you provide the specific statement or theorem you want to prove, I can guide you through the detailed steps.