- #1

deviltaz

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I hope that someone can help me with the following problem:

Problem: Proof by induction that:

A

(A

Problem: Proof by induction that:

A

_{1}[tex]\cup[/tex] A_{2}[tex]\cup[/tex]...[tex]\cup[/tex]A_{n}=(A_{1}-A_{2})[tex]\cup[/tex](A_{2}-A_{3})[tex]\cup[/tex]...[tex]\cup[/tex](A_{n-1}-A_{n})[tex]\cup[/tex](A_{n}-A_{1})[tex]\cup[/tex](A

_{1}[tex]\cap[/tex]A_{2}[tex]\cap[/tex]...[tex]\cap[/tex]A_{n})
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