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Function defined with If


Dear group,

I am trying to define a function of the variables x, y through other
quantities depending on x and y and the function If. A minimal example
is

In[1]:=
a = x;
b = y;
f[ x_, y_ ] = If[ a < b, a, b ]
Out[3]=
If[ x < y, a, b ]

How can I force Mathematica to return If[ x < y, x, y ], as I thought
it would?

Thaks in advance,

Julián Aguirre


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