"Perhaps the mere fact of our presence here will be enough to deter them."
And obviously it was not affected by the fact of his presence.
The mere fact of Clinton's presence seems to sharpen this instinct, in ways good and bad.
He realized that she had been standing there for a while, but the fact of her presence had barely registered.
He went on talking, perhaps more to himself than to the girl, and stimulated by the fact of her presence.
She knew that the fact of his presence would create an impression.
The very fact of our presence in that time necessarily altered the timeline.
But let's be reasonable: 1 did little to hide the fact of my presence.
He accepted the fact of the marauder's presence as quite the expected thing.
The fact of someone's presence on welfare rolls has sometimes been used against them.