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We have already looked at 2-adic relations that separately exemplify each of these regularities.  We also introduced a few bits of additional terminology and special-purpose notations for working with tubular relations:
+
We have already looked at 2-adic relations that separately exemplify each of these regularities.  We also introduced a few bits of additional terminology and special-purpose notations for working with tubular relations.
    
{| align="center" cellspacing="8" width="90%"
 
{| align="center" cellspacing="8" width="90%"
 
|
 
|
 
<math>\begin{array}{lll}
 
<math>\begin{array}{lll}
L ~\text{is a pre-function}~ L : X \rightharpoonup Y
+
L ~\text{is a prefunction}~ L : X \rightharpoonup Y
 
& \iff &
 
& \iff &
 
L ~\text{is tubular at}~ X.
 
L ~\text{is tubular at}~ X.
 
\\[6pt]
 
\\[6pt]
L ~\text{is a pre-function}~ L : X \leftharpoonup Y
+
L ~\text{is a prefunction}~ L : X \leftharpoonup Y
 
& \iff &
 
& \iff &
 
L ~\text{is tubular at}~ Y.
 
L ~\text{is tubular at}~ Y.
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