HDTV vs film

Take a picture (or a movie), and suppose you want to digitalize it.
There has to be a resolution at which you will not lose any detail; at that resolution we could consider the digital to be equivalent to the original analog media.

So the question is: are we there yet?
Is digital photography at the same resolution level of analogue photography?
Is HDTV the same resolution of, say, films used in movie theaters?

Here and here are some answers.