doc-src/TutorialI/Rules/find2.thy
author Walther Neuper <neuper@ist.tugraz.at>
Thu, 12 Aug 2010 15:03:34 +0200
branchisac-from-Isabelle2009-2
changeset 37913 20e3616b2d9c
parent 16560 bed540afd4b3
permissions -rw-r--r--
prepare reactivation of isac-update-Isa09-2
     1 (*<*)
     2 theory find2 imports Main begin
     3 lemma "A \<and> B"
     4 (*>*)
     5 
     6 txt{*\index{finding theorems}\index{searching theorems} In
     7 \S\ref{sec:find}, we introduced Proof General's \pgmenu{Find} button
     8 for finding theorems in the database via pattern matching. If we are
     9 inside a proof, we can be more specific; we can search for introduction,
    10 elimination and destruction rules \emph{with respect to the current goal}.
    11 For this purpose, \pgmenu{Find} provides three aditional search criteria:
    12 \texttt{intro}, \texttt{elim} and \texttt{dest}.
    13 
    14 For example, given the goal @{subgoals[display,indent=0,margin=65]}
    15 you can click on \pgmenu{Find} and type in the search expression
    16 \texttt{intro}. You will be shown a few rules ending in @{text"\<Longrightarrow> ?P \<and> ?Q"},
    17 among them @{thm[source]conjI}\@. You may even discover that
    18 the very theorem you are trying to prove is already in the
    19 database.  Given the goal *}
    20 (*<*)
    21 oops
    22 lemma "A \<longrightarrow> A"
    23 (*>*)
    24 txt{*\vspace{-\bigskipamount}
    25 @{subgoals[display,indent=0,margin=65]}
    26 the search for \texttt{intro} finds not just @{thm[source] impI}
    27 but also @{thm[source] imp_refl}: @{thm imp_refl}.
    28 
    29 As before, search criteria can be combined freely: for example,
    30 \begin{ttbox}
    31 "_ \at\ _"  intro
    32 \end{ttbox}
    33 searches for all introduction rules that match the current goal and
    34 mention the @{text"@"} function.
    35 
    36 Searching for elimination and destruction rules via \texttt{elim} and
    37 \texttt{dest} is analogous to \texttt{intro} but takes the assumptions
    38 into account, too.
    39 *}
    40 (*<*)
    41 oops
    42 end
    43 (*>*)