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whatamp;#39;s going on guys Justin here and welcome back to our fifth example video following our course on proof writing now all the examples for todayamp;#39;s video are going to be about translating written statements into symbolic language and negating them so letamp;#39;s go ahead and get into this first example so this example says all integer multiples of six are also multiples of three and multiples of two so letamp;#39;s go ahead and translate that so we have for all integers n this statement m is equal to 6n implies that there exists integers A and B where m equals three a and two B so once again relating that back to the original statement if m is a multiple of 6 that also means that it is a multiple of three and a multiple of two so letamp;#39;s go ahead and negate this so that so first weamp;#39;ll negate the setup so that means that there exists an N which is an integer and so weamp;#39;re going to keep our original statement here m is equal to 6 n then weamp;#39;