let be a relation and let be a variable, the expression means "for each , is true"
consider the sentence "for every x, M(x)" it can be written as or how about "for every real number x, M(x)"?
the universal quantifier is an abbreviation for for all.
let be a relation and let be a variable, the expression means "for each , is true"
consider the sentence "for every x, M(x)" it can be written as or how about "for every real number x, M(x)"?
the universal quantifier is an abbreviation for for all.