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Well, min is not what we call a symbolic function. Since x is earlier in the lexicographic order than y:

sage: var('y')
y
sage: min(x,y)
x

We work around that like this.

sage: f(x,y) = 2*min_symbolic(x,y)
sage: f(3,2)
4
sage: f(2,3)
4

This should probably be easier to find...