The phrase "after independently" is correct and usable in written English.
It can be used to indicate that something occurs following an independent action or decision.
Example: "The team conducted their research after independently verifying the data."
Alternatives: "subsequent to independently" or "following independent".
Each surgeon formulated another surgical plan after independently reviewing the laboratory study.
New Zealand journalist Barbara Dreaver was interviewed by police and had her forum accreditation withdrawn after independently speaking with refugees.
Flanked by members of her own investigative team, Mosby said she decided to press charges after "independently verifying" all facts provided by the police department, and stated: "From day one, I also sent my own investigators to the scene.
After independently recognizing speech and gestures, correspondence must be found between them.
After independently verifying the code, SCO discovered that Linux was free of SRVX code and that in fact Novell owned the rights to SRVX.
After independently exploring Fort Dade's ruins and searching for shells and wildlife, we returned to Calypso Cat for a short trip to the other side of Egmont Key and one of Fort Dade's sunken gun batteries.
After Reverberation failed to chart, the band were dropped by WEA Records and, after two independently released singles, disbanded in 1993.
Several journalists were detained after trying independently to investigate reports of official crackdowns against Tibetans.
SAPIEN 3 was associated with less significant PVR after TAVI independently of the AVC burden.
She has lived all her life in Newport, and only moved into her care home four years ago, after living independently.
For Neu! 75, their final official release, the two musicians reconvened at Plank's studio after working independently on solo projects.
