A কে B এর প্রকৃত উপসেট বলা হয় যদি ও কেবল যদি A⊆B এবং A≠V। অর্থাৎ A এর প্রত্যেক উপাদান B এরও উপাদান এবং B তে অন্তত একটি উপাদান আছে যা A তে নেই। যেমন A = {1, 2}, B = {1, 2, 3} । A, B এর প্রকৃত উপসেট বুঝাতে A⊂B লেখা হয়।
ক) যেকোনো সেট A এর জন্য A⊆A। এর কারণ x ∈ A ⇒ x ∈ A
খ) যেকোনো সেট A এর জন্য ∅⊆A। এর কারণ ∅⊆A না হলে ∅ তে একটি উপাদান আছে যা A তে নাই। কিন্তু ইহা কখনই সত্য নয় কারণ Ø ফাঁকা সেট। অতএব ∅⊆A| উল্লেখ্য ফাঁকা সেট বা যেকোনো সেটের প্রকৃত উপসেট।
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