- <keyword>ring</keyword>
- <keyword>right</keyword>
- <keyword>symmetry</keyword>
- <keyword>simplify</keyword>
- <keyword>split</keyword>
- <keyword>to</keyword>
- <keyword>transitivity</keyword>
- <keyword>unfold</keyword>
- <keyword>whd</keyword>
- <keyword>assume</keyword>
- <keyword>suppose</keyword>
- <keyword>by</keyword>
- <keyword>is</keyword>
- <keyword>or</keyword>
- <keyword>equivalent</keyword>
- <keyword>equivalently</keyword>
- <keyword>we</keyword>
- <keyword>prove</keyword>
- <keyword>proved</keyword>
- <keyword>need</keyword>
- <keyword>proceed</keyword>
- <keyword>induction</keyword>
- <keyword>inductive</keyword>
- <keyword>case</keyword>
- <keyword>base</keyword>
- <keyword>let</keyword>
- <keyword>such</keyword>
- <keyword>that</keyword>
- <keyword>by</keyword>
- <keyword>have</keyword>
- <keyword>and</keyword>
- <keyword>the</keyword>
- <keyword>thesis</keyword>
- <keyword>becomes</keyword>
- <keyword>hypothesis</keyword>
- <keyword>know</keyword>
- <keyword>case</keyword>
- <keyword>obtain</keyword>
- <keyword>conclude</keyword>
- <keyword>done</keyword>
- <keyword>rule</keyword>
-
- <!-- ntactics -->
- <keyword>apply</keyword>
- <keyword>applyS</keyword>
- <keyword>cases</keyword>
- <keyword>letin</keyword>
- <keyword>auto</keyword>
- <keyword>elim</keyword>
- <keyword>whd</keyword>
- <keyword>normalize</keyword>
- <keyword>assumption</keyword>
- <keyword>generalize</keyword>
- <keyword>change</keyword>
- <keyword>rewrite</keyword>
- <keyword>cut</keyword>