I'm trying to understand this definition:
"The set $y$ is inductive if $∅∈y$ and $x^+∈y$ whenever $x∈y$"
$x^+$ is the successor of $x$, defined as $x^+=x∪\{x\}$
it's a simple definition but i think it's a little ambiguous between:
- The set $y$ is inductive if ($∅∈y$) and ($x^+∈y$ whenever $x∈y$)
- The set $y$ is inductive if ($∅∈y$ and $x^+∈y$) whenever $x∈y$
which one is it?