What is the difference between
cat dat | tee >(wc -l ) | some other command
and
cat dat | tee file | wc -l
in terms of what is happening under the hood? I can understand the second one as tee is forking the stream into a file and also to a pipe. But I am confused with the first one.
The first notation is the process substitution of Bash 4.x (not in 3.x, or not all versions of 3.x).
As far as tee is concerned, it is given a file name (such as /dev/fd/64) to which it writes as well as to standard output; it is actually a file descriptor for the write end of a pipe. As far as wc is concerned, it reads its standard input (which is the read end of the pipe that is connected to /dev/fd/64 for tee), and writes its answer to the standard output of the shell invoking the pipeline (not the standard output of tee which goes down the pipeline).