\A,B,C = U,(B^C ≤ A) → (C − A) ^ (B − A) = Ø

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Discrete mathematics question, I will like. Thank you!

Provide proof that the equality in the attached photo is true

  • You must use the form of the proof method that requires the instantiation of an element in a set that is claimed to be empty, and a proof by contradiction that the set is empty.
  • Provide your proof line-by-line, with each line a statement with its justification.  You must formally start and end the proof. 
  • Write it in English, for example: "For all sets A,B,C taken from a universal set, if the intersection of sets B and C is a subset of set A then the intersection of the set differences of C – A and B – A equals the empty set."
\A,B,C = U,(BΜC ≤ A) → (C − A) ^ (B − A) = Ø
Transcribed Image Text:\A,B,C = U,(BΜC ≤ A) → (C − A) ^ (B − A) = Ø
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