Analysis of information sources in references of the Wikipedia article "Equality (mathematics)" in English language version.
A set is a collection of definite distinct objects of our perception or of our thought, which are called elements of the set.
A relation between two quantities or other mathematical expressions stating that the two are the same; (also) an expression of such a relation by means of symbols, an equation.
A formula affirming the equivalence of two quantitative expressions, which are for this purpose connected by the sign =.