Let a, b c s. prove a\ (an b) = (au b)\ b.

Ответ:

karis18

03.01.2022

The following proof makes use of logic equivalences.

Step-by-step explanation:

We have to show that $x\in A/(A\cap B)$ is equivalent to say that $x\in (A\cup B)/B$ . In fact, if $x\in A/(A\cap B)$ , by definition this is equivalent to say that $x\in A\, \text{and}\, x\notin A\cap B$ , this is equivalent to say that $x\in A\, \text{and}\, (x\notin A\, \text{or}\, x\notin B)$ , this is equivalent to $x\in A\, \text{and}\, x\notin B$ , and this is equivalent to say that $(x\in A\, \text{or} \, x\in B)\, \text{and}\, x\notin B$ , and this is equivalent to say that $x\in (A\cup B)/B$ .

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$Let a, b c s. prove a\ (an b) = (au b)\ b.$

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Let a, b c s. prove a\ (an b) = (au b)\ b.

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