Claim:Two definitions of independence are equivalent

From CS2800 wiki
If [math]\href{/cs2800/wiki/index.php/Pr}{Pr}(E_2) \neq 0 [/math] then [math]\href{/cs2800/wiki/index.php/Pr}{Pr}(E_1 \href{/cs2800/wiki/index.php/%5Ccap}{\cap} E_2) = \href{/cs2800/wiki/index.php/Pr}{Pr}(E_1)\href{/cs2800/wiki/index.php/Pr}{Pr}(E_2) [/math] if and only if [math]\href{/cs2800/wiki/index.php/Pr}{Pr}(E_1 \href{/cs2800/wiki/index.php/%5Cmid}{\mid} E_2) = \href{/cs2800/wiki/index.php/Pr}{Pr}(E_1) [/math]