Proof: If P(A) is a Subset of P(B) then A is a Subset of B | Set Theory

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If the power set of A is a subset of the power set of B then A is a subset of B. We will prove this basic set theory result in today's lesson! It follows easily from the definition of subset and power set.

Thus, for sets A and B, we have that A is a subset of B if and only if the power set of A is a subset of the power set of B.

I hope you find this video helpful, and be sure to ask any questions down in the comments!

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Love your videos. I've been getting through a book on set theory and logic and this content has been a vital adjunct to the material.

XenonDiosmitide
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How can i solve this
Question :- For any two sets A and B, prove that: A intersection B = faai = A is subset of B'.

AnishKumar-uybu
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Sir pls upload videos of permutation groups of abstract algebra

mariyamsanayam