2205 These tools are available via the following commands. |
2205 These tools are available via the following commands. |
2206 |
2206 |
2207 \begin{matharray}{rcl} |
2207 \begin{matharray}{rcl} |
2208 \indexdef{HOL}{command}{solve\_direct}\hypertarget{command.HOL.solve-direct}{\hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2208 \indexdef{HOL}{command}{solve\_direct}\hypertarget{command.HOL.solve-direct}{\hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2209 \indexdef{HOL}{command}{try}\hypertarget{command.HOL.try}{\hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2209 \indexdef{HOL}{command}{try}\hypertarget{command.HOL.try}{\hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2210 \indexdef{HOL}{command}{try\_methods}\hypertarget{command.HOL.try-methods}{\hyperlink{command.HOL.try-methods}{\mbox{\isa{\isacommand{try{\isaliteral{5F}{\isacharunderscore}}methods}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2210 \indexdef{HOL}{command}{try0}\hypertarget{command.HOL.try0}{\hyperlink{command.HOL.try0}{\mbox{\isa{\isacommand{try0}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2211 \indexdef{HOL}{command}{sledgehammer}\hypertarget{command.HOL.sledgehammer}{\hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2211 \indexdef{HOL}{command}{sledgehammer}\hypertarget{command.HOL.sledgehammer}{\hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2212 \indexdef{HOL}{command}{sledgehammer\_params}\hypertarget{command.HOL.sledgehammer-params}{\hyperlink{command.HOL.sledgehammer-params}{\mbox{\isa{\isacommand{sledgehammer{\isaliteral{5F}{\isacharunderscore}}params}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} |
2212 \indexdef{HOL}{command}{sledgehammer\_params}\hypertarget{command.HOL.sledgehammer-params}{\hyperlink{command.HOL.sledgehammer-params}{\mbox{\isa{\isacommand{sledgehammer{\isaliteral{5F}{\isacharunderscore}}params}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} |
2213 \end{matharray} |
2213 \end{matharray} |
2214 |
2214 |
2215 \begin{railoutput} |
2215 \begin{railoutput} |
2216 \rail@begin{1}{} |
2216 \rail@begin{1}{} |
2217 \rail@term{\hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}}}[] |
2217 \rail@term{\hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}}}[] |
2218 \rail@end |
2218 \rail@end |
2219 \rail@begin{6}{} |
2219 \rail@begin{6}{} |
2220 \rail@term{\hyperlink{command.HOL.try-methods}{\mbox{\isa{\isacommand{try{\isaliteral{5F}{\isacharunderscore}}methods}}}}}[] |
2220 \rail@term{\hyperlink{command.HOL.try0}{\mbox{\isa{\isacommand{try0}}}}}[] |
2221 \rail@bar |
2221 \rail@bar |
2222 \rail@nextbar{1} |
2222 \rail@nextbar{1} |
2223 \rail@plus |
2223 \rail@plus |
2224 \rail@bar |
2224 \rail@bar |
2225 \rail@term{\isa{simp}}[] |
2225 \rail@term{\isa{simp}}[] |
2302 |
2302 |
2303 \item \hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}} checks whether the current |
2303 \item \hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}} checks whether the current |
2304 subgoals can be solved directly by an existing theorem. Duplicate |
2304 subgoals can be solved directly by an existing theorem. Duplicate |
2305 lemmas can be detected in this way. |
2305 lemmas can be detected in this way. |
2306 |
2306 |
2307 \item \hyperlink{command.HOL.try-methods}{\mbox{\isa{\isacommand{try{\isaliteral{5F}{\isacharunderscore}}methods}}}} attempts to prove a subgoal |
2307 \item \hyperlink{command.HOL.try0}{\mbox{\isa{\isacommand{try0}}}} attempts to prove a subgoal |
2308 using a combination of standard proof methods (\hyperlink{method.auto}{\mbox{\isa{auto}}}, |
2308 using a combination of standard proof methods (\hyperlink{method.auto}{\mbox{\isa{auto}}}, |
2309 \hyperlink{method.simp}{\mbox{\isa{simp}}}, \hyperlink{method.blast}{\mbox{\isa{blast}}}, etc.). Additional facts supplied |
2309 \hyperlink{method.simp}{\mbox{\isa{simp}}}, \hyperlink{method.blast}{\mbox{\isa{blast}}}, etc.). Additional facts supplied |
2310 via \isa{{\isaliteral{22}{\isachardoublequote}}simp{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}intro{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}elim{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, and \isa{{\isaliteral{22}{\isachardoublequote}}dest{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} are passed to the appropriate proof methods. |
2310 via \isa{{\isaliteral{22}{\isachardoublequote}}simp{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}intro{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}elim{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, and \isa{{\isaliteral{22}{\isachardoublequote}}dest{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} are passed to the appropriate proof methods. |
2311 |
2311 |
2312 \item \hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}} attempts to prove or disprove a subgoal |
2312 \item \hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}} attempts to prove or disprove a subgoal |
2313 using a combination of provers and disprovers (\hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}}, \hyperlink{command.HOL.quickcheck}{\mbox{\isa{\isacommand{quickcheck}}}}, \hyperlink{command.HOL.try-methods}{\mbox{\isa{\isacommand{try{\isaliteral{5F}{\isacharunderscore}}methods}}}}, \hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}}, \hyperlink{command.HOL.nitpick}{\mbox{\isa{\isacommand{nitpick}}}}). |
2313 using a combination of provers and disprovers (\hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}}, \hyperlink{command.HOL.quickcheck}{\mbox{\isa{\isacommand{quickcheck}}}}, \hyperlink{command.HOL.try0}{\mbox{\isa{\isacommand{try0}}}}, \hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}}, \hyperlink{command.HOL.nitpick}{\mbox{\isa{\isacommand{nitpick}}}}). |
2314 |
2314 |
2315 \item \hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}} attempts to prove a subgoal |
2315 \item \hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}} attempts to prove a subgoal |
2316 using external automatic provers (resolution provers and SMT |
2316 using external automatic provers (resolution provers and SMT |
2317 solvers). See the Sledgehammer manual \cite{isabelle-sledgehammer} |
2317 solvers). See the Sledgehammer manual \cite{isabelle-sledgehammer} |
2318 for details. |
2318 for details. |