Would anyone happen to know the name of the following grammatical construction that I've italicized below (the clause beginning with "with")? My searches have been unsuccessful.
This process mirrors what happened elsewhere in the world, with our species establishing its rule over the Earth within a relatively short time in evolutionary terms.
In the sentence, the preposition "with" is introducing a clause. However, I haven't been able to find information on "with" being used in this manner.
Also, if anyone has time and is interested, would they be willing to paraphrase the sentence above? I would like to see how others interpret it.
Thanks for your time...