The conversation between human and AI assistant.
How do you prove that for all sets A, B and C, (A∪B) \C = (A\C) ∪ (B \C)?
Can you help me understand how to prove that (A∪B) \C = (A\C) ∪ (B\C) for all sets A, B, and C?
Sure, I can definitely help you with that. Would you like me to explain the proof to you step by step?