$$p\wedge [(p'\vee q)\wedge q']\equiv p\wedge [(p'\wedge q')\vee (q\wedge q')]\equiv p\wedge [(p'\wedge q')\vee 0]\equiv p\wedge (p'\wedge q')$$
$$\equiv$$
$$(p\wedge p')\wedge q'$$
$$\equiv$$
$$0\wedge q'$$
$$\equiv$$
$$0$$ Yani çelişki (hepyanlış).