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    $\begingroup$ I think the other half of the answer is that Agsy doesn't have any way to deal with the variables it wants to use not being in scope. The solution is to bring them into scope via either the s<s constructors' implicit arguments or by un-dotting the dot patterns and filling in the _s. $\endgroup$
    – James Wood
    Commented Mar 15 at 9:54
  • $\begingroup$ @JamesWood I think the implicits are introduced in the pattern s<s {m} {n} m<n instead of the prior dotted patterns, but yeah you can also undot them $\endgroup$
    – ice1000 ♦
    Commented Mar 15 at 15:32
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    $\begingroup$ In a sense, dot patterns can never introduce variables, but they sometimes are the most convenient or clearest place to introduce variables (after undotting). $\endgroup$
    – James Wood
    Commented Mar 15 at 16:15