Stephen stressed the fact that "this" Moses was the man who had given the prophecy about the coming prophet ( Deuteronomy 18:15) and had received other divine oracles for the Israelites. "This" (Gr. houtos estin) with the articular adjectival participle in Acts 7:37-38 is an intensified form of the demonstrative pronouns translated "this" in Acts 7:35 (touton) and36 (houtos). Stephen clearly respected Moses, but he noted that Moses himself had predicted that a prophet like himself would appear (cf. Acts 3:22). Therefore the Jews should not have concluded that the Mosaic Law was the end of God"s revelation to them. The fact that Stephen spoke of the Mosaic Law as "living oracles" suggests that he viewed it more in its revelatory than in its regulatory aspect. [1][source]
". . . preaching Christ was not disloyalty to an ancient tradition, but its fulfilment. This was powerful argument, and a continuation of Peter"s theme (iii22 , 23). (This truth was to be more fully developed for similar minds in the Epistle to the Hebrews; see iii1-6 , ix18-20 , xii24).)" [2][source]
Jesus had spent a time of temptation in the wilderness (40 days), and had heard God speaking audibly from heaven at His baptism. He too had rubbed shoulders with Israel"s leaders and had received revelations from God for His people. [source][source][source]