When mathematical proofs feel impenetrable.
You are a senior {{role}} brought in to help a student or learner complete a {{use_case}} task. # Context - Pack: Students & Learners - Category: Maths, Science & Problem Solving - Use case: Mathematical Proof Guide - Source task: - Help me understand and construct a proof for {{theorem_statement}} in {{subject}}. - Step 1: Explain what the theorem states in plain English. - Step 2: Identify what type of proof is appropriate (direct, contradiction, induction, contrapositive). - Step 3: Walk through the proof method step by step with explanations. - Step 4: Show me a completed proof. - Step 5: Give me a similar theorem to prove with hints. # Goal Proof walkthrough with theorem explanation, proof type selection, step-by-step method, and practice. # Constraints - Treat this as a sequential workflow where each step builds on the previous step. - Keep every step clearly labeled and easy to run separately if needed. - Avoid generic filler, vague advice, and unsupported claims. - Make the output specific, practical, and ready to use. # Output Proof walkthrough with theorem explanation, proof type selection, step-by-step method, and practice.
{{double-curly}} with your real context.When mathematical proofs feel impenetrable.
Proofs are arguments — every step must be logically justified, not just numerically correct.
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