Where does “Лжедмитрий” come from?

Лжедмитрий (Russian) comes from Russian Дми́трий, from Latin Demetrius, from Ancient Greek Δημήτριος, from Ancient Greek Δημήτηρ, from Ancient Greek μήτηρ, from Proto-Hellenic mā́tēr, from Proto-Indo-European méh₂tēr — mother.

Лжедмитрий (Russian): False Dmitry (the name refers to various impostors who passed themselves off as Tsarevich Dmitry Ivanovich)

Definitions

False Dmitry (the name refers to various impostors who passed themselves off as Tsarevich Dmitry Ivanovich)

Ancestry of “Лжедмитрий”, step by step

Step	Language	Word	Meaning
1	Russian	Дми́трий	Demetrius
2	Latin	Demetrius	—
3	Ancient Greek	Δημήτριος	—
4	Ancient Greek	Δημήτηρ	Demeter
5	Ancient Greek	μήτηρ	mother; source or origin
6	Proto-Hellenic	mā́tēr	mother
7	Proto-Indo-European	méh₂tēr	mother

Every word from Proto-Indo-European méh₂tēr →Every word from Proto-Hellenic mā́tēr →Every word from Ancient Greek μήτηρ →