[see also: by-product, incidentally, turn]
This enables us to pass from a compact group G to a maximal torus T. [Not: “enables to pass'']
Passing to a subsequence if necessary, we can assume that......
Before passing to 4(b), we observe that......
Every path on G passes through vertices of V and W alternately.
We note in passing that Fox has subsequently improved Barnes's result by showing that......