Documentation

Init.Grind.Interactive

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    The ! modifier instructs grind to consider only minimal indexable subexpressions when selecting patterns.

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                                  grind is the syntax category for a "grind interactive tactic". A grind tactic is a program which receives a grind goal.

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                                              (grindSeq) runs the grindSeq in sequence on the current list of targets. This is pure grouping with no added effects.

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                                                lia linear integer arithmetic.

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                                                  ring (commutative) rings and fields.

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                                                    ac associativity and commutativity procedure.

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                                                      linarith linear arithmetic.

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                                                        The sorry tactic is a temporary placeholder for an incomplete tactic proof.

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                                                              Instantiates theorems using E-matching. The approx modifier is just a marker for users to easily identify automatically generated instantiate tactics that may have redundant arguments.

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                                                                Shows asserted facts.

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                                                                  Shows propositions known to be True.

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                                                                    Shows propositions known to be False.

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                                                                      Shows equivalence classes of terms.

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                                                                        Show case-split candidates.

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                                                                          Show grind state.

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                                                                            Show active local theorems and their anchors for heuristic instantiation.

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                                                                                    done succeeds iff there are no remaining goals.

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                                                                                      finish tries to close the current goal using grind's default strategy

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                                                                                        finish? tries to close the current goal using grind's default strategy and suggests a tactic script.

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                                                                                            Executes the given tactic block to close the current goal.

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                                                                                              all_goals tac runs tac on each goal, concatenating the resulting goals. If the tactic fails on any goal, the entire all_goals tactic fails.

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                                                                                                focus tac focuses on the main goal, suppressing all other goals, and runs tac on it. Usually · tac, which enforces that the goal is closed by tac, should be preferred.

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                                                                                                    any_goals tac applies the tactic tac to every goal, concatenating the resulting goals for successful tactic applications. If the tactic fails on all of the goals, the entire any_goals tactic fails.

                                                                                                    This tactic is like all_goals try tac except that it fails if none of the applications of tac succeeds.

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                                                                                                      with_annotate_state stx t annotates the lexical range of stx : Syntax with the initial and final state of running tactic t.

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                                                                                                        tac <;> tac' runs tac on the main goal and tac' on each produced goal, concatenating all goals produced by tac'.

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                                                                                                          first | tac | ... runs each tac until one succeeds, or else fails.

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                                                                                                            try tac runs tac and succeeds even if tac failed.

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                                                                                                              fail_if_success t fails if the tactic t succeeds.

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                                                                                                                admit is a synonym for sorry.

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                                                                                                                  fail msg is a tactic that always fails, and produces an error using the given message.

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                                                                                                                    repeat tac repeatedly applies tac so long as it succeeds. The tactic tac may be a tactic sequence, and if tac fails at any point in its execution, repeat will revert any partial changes that tac made to the tactic state. The tactic tac should eventually fail, otherwise repeat tac will run indefinitely.

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                                                                                                                      rename_i x_1 ... x_n renames the last n inaccessible names using the given names.

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                                                                                                                        expose_names renames all inaccessible variables with accessible names, making them available for reference in generated tactics. However, this renaming introduces machine-generated names that are not fully under user control. expose_names is primarily intended as a preamble for generated grind tactic scripts.

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                                                                                                                          set_option opt val in tacs (the tactic) acts like set_option opt val at the command level, but it sets the option only within the tactics tacs.

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