Many compound verbs take the dative because of their meaning as a whole. So ἀντέχειν
The dative is used with verbs compounded with σύν (regularly), with many compounded with ἐν, ἐπί, and with some compounded with παρά, περί, πρός, and ὑπό, because the preposition keeps a sense that requires the dative.
ἐλπίδας ἐμποιεῖν ἀνθρώποις
αὐτοῖς ἐπέπεσε τὸ Ἑλληνικόν
οὗτοι οὐ παρεγένοντο βασιλεῖ
ὑποκεῖσθαι τῷ ἄρχοντι
a. So especially with verbs of motion and rest formed from ἰέναι, πί_πτειν, τιθέναι, τρέχειν, εἶναι, γίγνεσθαι, κεῖσθαι, etc.1546
Some verbs of motion compounded with παρά, περί, ὑπό take the accusative ( cross1559).1547
Some verbs have an alternative construction, e.g. περιβάλλειν: τινί τι invest a person with something, τί τινι
Compounds of σύν take the instrumental, compounds of ἐν take the locative dative.1549
When the idea of place is emphatic, the preposition may be repeated:
ἐμμείναντες ἐν τῇ Ἀττικῇ
τοῖς ὅρκοις ἐμμένων
μετ' ἐμοῦ συνέπλει
The prepositions are more frequently repeated in prose than in poetry.
Herbert Weir Smyth [n.d.], A Greek Grammar for Colleges; Machine readable text [info] [word count] [Smyth].