So your proof is that the description in the Daniel 2 statue prophecy and the fourth beast as described in Dan 7 7-8, 11, are the same and both fit Rome.
Dan 7:7-8, 11: - 7 "After this I saw in the night visions, and behold, a fourth beast, dreadful and terrible, exceedingly strong. It had huge iron teeth; it was devouring, breaking in pieces, and trampling the residue with its feet. It was different from all the beasts that were before it, and it had ten horns. 8 I was considering the horns, and there was another horn, a little one, coming up among them, before whom three of the first horns were plucked out by the roots. And there, in this horn, were eyes like the eyes of a man, and a mouth speaking pompous words.
. . . . .
11 "I watched then because of the sound of the pompous words which the horn was speaking; I watched till the beast was slain, and its body destroyed and given to the burning flame.
Dan 2:40: - 40 And the fourth kingdom shall be as strong as iron, inasmuch as iron breaks in pieces and shatters everything; and like iron that crushes, that kingdom will break in pieces and crush all the others.
In the above two passages, we are not told that, in either passage, they are referencing the Roman Empire. In fact, the Roman Empire fits more logically as inhabiting the western head of the third beast which came out of the division of Alexandra the Great's initial empire as the spoils of his empire after he died and was divided between his four generals.
Now in Dan 8 we are told that Alexandra the Great initially had dominion over Babylon and that after his death four horn grew out of the goat's head replacing the initial single horn. At some stage after this a demonic spirit, known as the Little horn rose up to exercise power over the four horns that rose up to replace the empire of Alexandra the Great. From the description of the events recounted in Dan 11 we know that the kingdoms associated with four horns of the goat, fought against each other and that one of these horn grew exceedingly strong and that this empire became the Roman Empire which existed for a period of time.
We also know from the OT that Empires that came against Israel for a time were also judged by God and that these Empires then faded from view a little later in time.
It is my understanding that the fourth beast of Daniel 7:1-12 is the Islamic "religious" Empire and the evidence for this understanding can be seen in the events occurring over all of the earth at this present time.
The Little horn, around 150 BC lead the Gentile Army of one of the divisions of the Greek Empire to begin the process of trampling the Sanctuary of God. This trampling of the Sanctuary of God will have run for its full measure of 2,300 years in our near future and at that time God will Judge both the wicked fallen Heavenly Hosts in heaven and the Kings of the earth on the earth.
I could go on but to do so would mean that I have to write a book to cover all of the information necessary to present the full apology to support my point of view.
Shalom
Now the wicked fallen demonic heavenly host, the "Little Horn," took control over the Roman Empire, for a time to go against Christ.
