(*<*) theory find2 imports Main begin lemma"A ∧ B" (*>*)
txt‹\index{finding theorems}\index{searching theorems} In \S\ref{sec:find}, we introduced Proof General's \pgmenu{Find} button for finding theorems in the database via pattern matching. If we are inside a proof, we can be more specific; we can search for introduction, elimination and destruction rules \emph{with respect to the current goal}. For this purpose, \pgmenu{Find} provides three aditional search criteria: \texttt{intro}, \texttt{elim} and \texttt{dest}. For example, given the goal @{subgoals[display,indent=0,margin=65]} you can click on \pgmenu{Find} and type in the search expression \texttt{intro}. You will be shown a few rules ending in ‹==> ?P ∧ ?Q›,
among them @{thm[source]conjI}\@. You may even discover that
the very theorem you are trying to prove is already in the
database. Given the goal› (*<*) oops lemma"A ⟶ A" (*>*) txt‹\vspace{-\bigskipamount} @{subgoals[display,indent=0,margin=65]} the search for \texttt{intro} finds not just @{thm[source] impI} but also @{thm[source] imp_refl}: @{thm imp_refl}. As before, search criteria can be combined freely: for example, \begin{ttbox} "_ \at\ _" intro \end{ttbox} searches for all introduction rules that match the current goal and mention the ‹@› f
Searching for elimination and destruction rules via \texttt{elim} and \texttt{dest} is analogous to\texttt{intro} but takes the assumptions
into account, too. › (*<*) oops end (*>*)
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