The phrase "which proceed" is correct and usable in written English.
It is often used to introduce a clause that provides additional information about the subject of the sentence. Example: The flowers, which proceed to bloom in the spring, bring a burst of color to the garden.
And unlike most painting authentication cases, which proceed in scholarly seclusion for years, this one played out on television.
There is certainly a variety of opinions in the 850 articles, which proceed alphabetically from "Abraham Path Initiative" to "Zones of Peace".
It passes on only current and spent convictions, cautions, reprimands, and warnings – which proceed from an admission of guilt (to be cautioned you have to accept a caution).
Once you have bought a ticket, you trigger a series of constructed situations which proceed according to the way you choose to respond to them.
The sound of typewriter keys (Moore was among the first important poets to write exclusively on the typewriter) is almost audible in her lines, which proceed, one syllable at a time, with what she called a "pleasing jerky progress".
The players and referee in the game are animated paper cutouts of Mr. Kuchar, which proceed to attack and mangle each other in ways so elaborate that they make the ultraviolent cat and mouse enemies in "The Simpsons," Itchy and Scratchy, seem like models of civilized behavior.
For sure, Browne's vocabulary is well stocked and surprising – among more recondite inventions, he gave us "suicide", "cylindrical", "computer" and "electricity" – but it is not quite adequate to say of his sentences, which proceed by strategies of stately accretion and sly parallelism, punctuated by instances of sublime aphorism, that they are merely "sonorous" or "fragmentary".
In a short essay at 3quarksdaily, Scott F. Aikin and Robert B. Talisse propose that when considering the merits of such arguments, theists ought not overlook their "evil twins:" arguments with the same logical structure, but which proceed in the opposite direction.
The other is to consider the thermodynamic limitations, on the reactions of refractory sulfur compounds which proceed via ring hydrogenation.
