Prove or Disprove: for All Positive Real Numbers $x$ And $y$ $\lfloor x \cdot y \rfloor \leq \lfloor x \rfloor \cdot \lfloor y \rfloor$

Prove or disprove: For all positive real numbers $x$ and $y$ , $\lfloor x \cdot y \rfloor \leq \lfloor x \rfloor \cdot \lfloor y \rfloor$