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Another Fact about Kestrels

Problem

Prove that for any Kestrel K and any bird x, if K(x) is egocentric, then K must be fond of x.

Solution

We start with a K(x) that is egocentric:

K(x)(K(x)) => K(x);

But because the Kestrel fixates on its first argument, that same expression must also return x:

K(x)(K(x)) => x;

Therefore, K(x) and x are the same bird, and if K(x) === x, K is fond of x.

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