How did Arwen see it......

[The Squatter of Amon Rûdh]

The example of Elven prophecy that springs immediately to my mind is from the appendices to The Lord of the Rings:

'Then the Witch-king laughed, and none that heard it ever forgot the horror of that cry. But Glorfindel rode up then on his white horse, and in the midst of his laughter the Witch-king turned to flight and passed into the shadows. For night came down upon the battlefield, and he was lost, and none saw whither he went.
'Eärnur now rode back, but Glorfindel, looking into the gathering dark, said:
"Do not pursue him! He will not return to this land. Far off yet is his doom, and not by the hand of man will he fall." These words many remembered; but Eärnur was angry, desiring only to be avenged for his disgrace.

Appendix A (iv): Gondor and the Heirs of Anárion

There are numerous other examples; but this one serves to draw us still farther away from the more misleading aspects of the films.