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<p class="MsoNormal"><span style="font-size:11.0pt">Hi,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">I just transferred some code form my lecture notes to my book draft and now the termination checker complains where there was no problem before:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">thm : {P : Form} → ([] </span>
<span style="font-size:11.0pt;font-family:"Cambria Math",serif">⊢</span><span style="font-size:11.0pt"> P)
</span><span style="font-size:11.0pt;font-family:"Cambria Math",serif">⇔</span><span style="font-size:11.0pt">
</span><span style="font-size:11.0pt;font-family:"Cambria Math",serif">⊢</span><span style="font-size:11.0pt">sk P<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">proj₁ thm d = skC→sk (</span><span style="font-size:11.0pt;font-family:"Cambria Math",serif">⊢</span><span style="font-size:11.0pt">→</span><span style="font-size:11.0pt;font-family:"Cambria Math",serif">⊢</span><span style="font-size:11.0pt">skC
d)<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">proj₂ thm SS = S-d<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">proj₂ thm KK = K-d<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="DE" style="font-size:11.0pt">proj₂ thm (app d e) = app (proj₂ thm d) (proj₂ thm e)<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="DE" style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">so here </span><span style="font-size:11.0pt;font-family:"Cambria Math",serif">⊢</span><span style="font-size:11.0pt">sk P is inductively defined and there should be no problem – and indeed there wasn’t before.
But now<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Termination checking failed for the following functions:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"> thm<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Problematic calls:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"> proj₂ thm e<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">I can’t make any sense out of it. Has anybody an inkling what could have happened or any advice what I could do to fix it.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">I can prove the <= direction on its own with no problems. The definition of
</span><span style="font-size:11.0pt;font-family:"Cambria Math",serif">⇔ is exactly the same as before and it doesn’t help if I expand it. Also the definition of products is the same as before.
</span><span style="font-size:11.0pt"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">If you want to have a look at the code please let me know – I will give you access to the repo.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Cheers,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Thorsten<o:p></o:p></span></p>
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