Cantor theorem
= Cantor theorem
{c}
{wiki=Cantor's_theorem}
There is no surjection from a set $X$ onto its <power set> $\mathcal P(X)$. Consequently $\mathcal P(X)$ has strictly greater cardinality than $X$.
= Cantor theorem
{c}
{wiki=Cantor's_theorem}
There is no surjection from a set $X$ onto its <power set> $\mathcal P(X)$. Consequently $\mathcal P(X)$ has strictly greater cardinality than $X$.