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We can abbreviate this inference, that operates on two pieces of information to produce another piece of information, in the following conventional form:
 
We can abbreviate this inference, that operates on two pieces of information to produce another piece of information, in the following conventional form:
 +
 +
{| align="center" cellpadding="8" width="90%"
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|
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<math>\begin{array}{l}
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x : X
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\\
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\underline{f : X \to Y}
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\\
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f(x) : Y
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\end{array}</math>
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|}
    
<pre>
 
<pre>
  x : X
  −
  f : X -> Y
  −
  -----------
  −
  f(x) : Y
  −
   
In this scheme of inference, the notations "x", "f", and "f(x)"
 
In this scheme of inference, the notations "x", "f", and "f(x)"
 
are taken to be names of formal objects.  Some people will call
 
are taken to be names of formal objects.  Some people will call
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