Schröder–Bernstein theorem
= Schröder–Bernstein theorem
{wiki=Schröder–Bernstein_theorem}
The Schröder–Bernstein theorem is a fundamental result in set theory concerning the sizes of sets, particularly in relation to their cardinalities. It states that if there are injective (one-to-one) functions between two sets \\( A \\) and \\( B \\) such that: 1. There exists an injective function \\( f: A \\to B \\) (embedding of \\( A \\) into \\( B \\)), 2.