He was never defeated in battle and was posthumously qualified as the Invincible (Aniketos) on the pedigree coins of his successor Agathocles.
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The kings Pantaleon, Antimachus, Agathocles and possibly Euthydemus II ruled after Demetrius I, and theories about their origin include all of them being relatives of Demetrius I, or only Antimachus.
Bactria | Demetrius | Demetrius Augustine Gallitzin | Demetrius of Anacopia | Demetrius I of Macedon | Demetrius II Nicator | Demetrius I of Bactria | Demetrius and the Gladiators | Demetrius III Eucaerus | Demetrius Hopkins | Demetrius Byrd | Rusudan, daughter of Demetrius I of Georgia | Demetrius, qualified as "ANIKETOS", i.e. "Invincible" (Pedigree coin minted by Agathocles of Bactria | Demetrius I Soter | Church of St Demetrius, Patalenitsa | Church of St Demetrius | Bactria (satrapy) | Agathocles of Bactria |
Agathocles issued a series of "pedigree" dynastic coins, probably with the intent to advertise his lineage and legitimize his rule, linking him to Alexander the Great, a king Antiochus Nikator (Greek: "Νικάτωρ" "Victorious", probably intended is Antiochus III), the founder of the Greco-Bactrian kingdom Diodotus and his son Diodotus II, Euthydemus, Pantaleon, and Demetrius.