8:49 AM PT -- Sources close to Rocky tell us cops determined very quickly the "lawfully purchased and legally registered" guns found in the rapper's home were not connected to the crime. Our Rocky sources tell us officers never even removed the weapons from the home, because they knew there was no relation to the weapon used in the alleged shooting.
Our law enforcement sources maintain they seized weapons from the home.
The search at A$AP Rocky's home turned up guns, multiple guns, but what's unclear ... did cops seize the gun that was used to shoot a man during an argument in Hollywood?
Law enforcement sources tell TMZ ... detectives will run ballistic tests on the weapons ... to determine if Rocky was the triggerman.
We're also told cops will run background on the firearms to determine where they came from, who bought them, or if they'd been reported stolen.
As we reported, Rocky was arrestedat a private LAX terminal last week when he and Rihannareturned from Barbados. Rocky was booked for assault with a deadly weapon stemming from the shooting in November in which cops say Rocky and an accomplice got into an argument in Hollywood that escalated to gunfire -- the alleged victim's hand was grazed.
TMZ broke the story ... Rocky and his legal team say they were shocked by the arrestand his alleged ties to the shooting. Rather than coordinate a voluntary surrender, cops simply nabbed him off the jet. Police say they needed the element of surprise so as not to tip A$AP off they would search his house for the weapon.
If one of the guns seized at Rocky's home turns out to be the weapon in question ... it could cement the case for prosecutors, who have yet to charge Rocky.