doc-src/Logics/LK.tex
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   220 but are incomplete.  Multiple use of a quantifier can be obtained by a
   220 but are incomplete.  Multiple use of a quantifier can be obtained by a
   221 contraction rule, which in backward proof duplicates a formula.  The tactic
   221 contraction rule, which in backward proof duplicates a formula.  The tactic
   222 {\tt res_inst_tac} can instantiate the variable~{\tt?P} in these rules,
   222 {\tt res_inst_tac} can instantiate the variable~{\tt?P} in these rules,
   223 specifying the formula to duplicate.
   223 specifying the formula to duplicate.
   224 
   224 
   225 See {\tt Sequents/LK} in the sources for complete listings of the
   225 See theory {\tt Sequents/LK} in the sources for complete listings of
   226 rules and derived rules.
   226 the rules and derived rules.
   227 
   227 
   228 
   228 
   229 \begin{figure} 
   229 \begin{figure} 
   230 \begin{ttbox}
   230 \begin{ttbox}
   231 \tdx{conR}        $H |- $E, P, $F, P ==> $H |- $E, P, $F
   231 \tdx{conR}        $H |- $E, P, $F, P ==> $H |- $E, P, $F