What does likelihood density f(y|theta)=5 imply?

Question

I just dont understand what dose constant likelihood density imply, e.g. f(y|theta)=5? In addition, when I use this likelihood density to derive posterior function, it cancels out so my posterior density is exactly as same as my prior, what does this imply?

Thanks in advance.

Answer 1

It implies that $y$ is uniform over its domain. Since density is 1/area, it also implies that $y$'s domain has area 1/5.