Empty intersection

15 Views Asked by At

$$x\in \bigcap \emptyset \iff (\forall b \in \emptyset)\,x\in b$$ Can it be drawn that $\forall x,\,x\in \bigcap \emptyset$ using the right hand side of above? How to show $(\forall b \in \emptyset)\,k\in b$ for an arbitrary element $k$?