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   3      decompose as H<sub>1</sub> ... H<sub>m</sub>
   4     </code></strong></p><p>
   5       </p><div class="variablelist"><dl class="variablelist"><dt><span class="term">Synopsis:</span></dt><dd><p>
   6              <span class="bold"><strong>decompose</strong></span>
   7              [<span class="bold"><strong>as</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.id">id</a></em></span>…]
   8             </p></dd><dt><span class="term">Pre-conditions:</span></dt><dd><p>None.</p></dd><dt><span class="term">Action:</span></dt><dd><p>
   9              For each each premise <span class="command"><strong>H</strong></span> of type
  10              <span class="command"><strong>T</strong></span> in the current context where
  11              <span class="command"><strong>T</strong></span> is a non-recursive inductive type without
  12              right parameters and of sort Prop or CProp, the tactic runs
  13              <span class="command"><strong>
  14               elim H as H<sub>1</sub> ... H<sub>m</sub>
  15              </strong></span>, clears <span class="command"><strong>H</strong></span>  and runs itself
  16              recursively on each new premise introduced by
  17              <span class="command"><strong>elim</strong></span> in the opened sequents.
  18             </p></dd><dt><span class="term">New sequents to prove:</span></dt><dd><p>
  19              The ones generated by all the <span class="command"><strong>elim</strong></span> tactics run.
  20             </p></dd></dl></div><p>
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