Let the domain be the set of all positive integers: {1,2,3,}. Are the following expressions true or false? 1. ?x?y(x?=y)?(x?y=1) 2. ?x?y(x2=y) 3. ?x?y((x2=y2)?(x?=y)) 4. ?x(x2?x0) 5. ?x?y(x+y=y+x) 6. ?x(x+1=0)

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Let the domain be the set of all positive integers: {1,2,3,}. Are the following expressions true or false? 1. ?x?y(x?=y)?(x?y=1) 2. ?x?y(x2=y) 3. ?x?y((x2=y2)?(x?=y)) 4. ?x(x2?x>0) 5. ?x?y(x+y=y+x) 6. ?x(x+1=0)

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