Theta function

Theta function is an ordinal collapsing function that can be defined like so:

\(\theta(\alpha+1)\) is the first fixed point after \(\theta(\alpha)\)

\(\theta(\alpha+\Omega) = \theta(\alpha+\theta(\alpha+\theta(\cdots\)

\(\theta(\alpha \times \Omega) = \theta(\alpha \times \theta(\alpha \times \theta(\cdots\)

\(\theta(\alpha^\Omega) = \theta(\alpha^{\theta^\alpha^{\theta(\cdots}}\)