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MATH ............................................

MATH ............................................-example-1

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It must be true that a implies c, because of the transitive property.

If a is true, then b is true as well. But every time b is true, c is true as well.

So, "jumping" over b, we have that if a is true, c is true as well.

Think of this example:

  • a: I live in Rome
  • b: I live in Italy
  • c: I live in Europe

It is true that
a\implies b, because Rome is inside Italy, and similarly
b\implies c, because Italy is a European state.

So, if I live in Rome, I must live in Europe as well.

User Brad Wickwire
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