Proof and Problem Solving - Relations Example 02

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A simple proof with relations that uses the definition of a relations domain and range. Given the relation R, we show that R is a subset of Dom(R) x Ran(R) where "x" is the Cartesian product.

  1. Adam Panagos
  2. Problem Solving (Media Genre)
  3. Deductive Reasoning
  4. Relation
  5. Domain
  6. Range
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The problem with this proof is that deducing the 6th line from the line above means A×B is a subset of Dom(R)×Im(R), which is not.

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