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

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The Answer of 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 $y$ $\lfloor x \cdot y \rfloor \leq \lfloor x \rfloor \cdot \lfloor y \rfloor$