Where does “προσβοηθέω” come from?

προσβοηθέω (Ancient Greek) comes from Ancient Greek βοηθέω, from Ancient Greek βοηθός, from Ancient Greek βοηθόος, from Ancient Greek θοός, from Ancient Greek θέω, from Ancient Greek θεϝ-, from Proto-Indo-European dʰew- — to die, pass away; to run, flow.

προσβοηθέω (Ancient Greek): to come to aid, come up with succor

Definitions

to come to aid, come up with succor

Ancestry of “προσβοηθέω”, step by step

Step	Language	Word	Meaning
1	Ancient Greek	βοηθέω	To help somebody
2	Ancient Greek	βοηθός	assisting, auxiliary
3	Ancient Greek	βοηθόος	heeding the call to arms, rushing to battle;...
4	Ancient Greek	θοός	quick, swift; sharp, pointed
5	Ancient Greek	θέω	I run; I fly
6	Ancient Greek	θεϝ-	—
7	Proto-Indo-European	dʰew-	to die, pass away; to run, flow

Every word from Proto-Indo-European dʰew- →Every word from Ancient Greek θεϝ- →Every word from Ancient Greek θέω →