Pradyumna is one of the four vyuha forms of Vasudeva (SB 1.5.37). Evidence: EXPLICIT.
Deity
Pradyumna
प्रद्युम्न
Son
Krishna
Deity
Pradyumna is the son of Krishna. Source evidence (SB 1.10.29): Pradyumna is Krishna's son: at SB 1.10.29 'pradyumna-samba-amba-sutadayah' counts him among the children of Krishna's queens. Direction: son -> father. Evidence: STRONG_CONTEXT.
Son Rukmini HumanPradyumna is the son of Rukmini. Source evidence (SB 3.1.28): Pradyumna is the son of Rukmini: SB 3.1.28 has Vidura ask after him as 'yaM rukmiNI bhagavato 'bhilebhe' — the one whom Rukmini obtained from the Lord.
Pradyumna — vyuha of — Krishna