Yes. I'm not sure how else its defined
Sorry I didn't notice this before in our discussions.
If you Google "prophecy definition", it says "a prediction". And that's fair because that's how we tend to use that word. But, that's not how the Biblical world would have used it. If you Google "prophecy definition in the bible", you'll get a much better definition that focuses primarily on it being a word from God. As with many things in the Bible, prophet/prophecy is a word that already had a use in their culture.
Exodus chapter 7 is a great place to see what a prophet was. Aaron's role in the Exodus was to speak for Moses because Moses said he wasn't good at speaking. In Exodus 7:1-2, we see: "So the Lord said to Moses, “See, I have made you like God to Pharaoh, and your brother Aaron will be your prophet. You are to speak everything I command you, and your brother Aaron is to tell Pharaoh that he must release the Israelites from his land." Aaron is called Moses' prophet because he speaks for him. That, in a nutshell is what a prophet was; a mouthpiece.
Prophecy actually fits underneath the larger umbrella of divination. Divination is the larger category of communicating with the gods and prophecy is a more specific subset where a word is spoken and then delivered by the prophet.
Yes, sometimes a prophecy involved telling future events. However, most prophecy wasn't in that category. The Biblical prophets #1 job was probably to notify Israel that they had broken their covenant and call them to repentance. And it is in that context that much of the foretelling took place. Not that they all follow this formula, but it is pretty typical to be: here's what you've done wrong, repent and be faithful to the covenant, if not here's what will happen to you, but in the long run God will still remain faithful to the covenant and rescue you since he has chosen you as his partner.
Here's a podcast episode from a group that I like at Pillar Seminary. And, someone who I have found really helpful is John Walton, one of the leading OT scholars today. If you're not familiar, he has a series of books that start with "The Lost World of..." and he has one that is "The Lost World of the Prophets". His "Lost Word" theme centers around the idea of their ancient world being quite different than what we expect, and prophecy definitely fits that category. Another good book by Walton is Wisdom for Faithful Reading, which is a more general hermeneutics book and has a chapter or two about prophecy/apocalyptic/fulfillment. Or, if you're not a big reader, there are videos and podcasts out there interviewing Walton on his work which can give a good high-level overview of prophecy.
So, just to briefly go back to the Matthew and Hosea example, I think it's important to realize that Hosea wasn't talking about the future in the section that Matthew quotes. He certainly wasn't making a Messianic claim. Just because Hosea is prophecy, and just because Matthew claims the events of Joseph taking Jesus to Egypt fulfill Hosea, doesn't mean Hosea was predicting the future. Hosea 11:1-4 are all looking back in time (not forward into the future) at how God showed his love for them by bringing them out of Egypt but they rebelled against God. Then the rest of the chapter does have some future talk about how Assyria will come for them, but God still loves them and he will welcome them back.
The reason I wanted to discuss Hosea is because it is a good example of a fulfilled prophecy that obviously (to me, at least) violates the idea that it is about predicting a future event and then that event verifies that same previous prophecy. I'm learning that fulfillment is actually pretty complicated stuff (and the Hosea example is considered especially complicated). I went through Matthew's fulfillment statements recently with a group at my church. It was really interesting to go back to what he was quoting, figure out the meaning of those original texts, and then figure out how Matthew was using it to make his own point. I actually mentioned this to an author and seminary professor recently and he said, "Matthew's fulfillment statements are quite a challenge." So I felt good that we were having trouble with some of them

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