Documentation

Lean.Meta.Tactic.Grind.Util

Throws an exception if target of the given goal contains metavariables.

Equations
    Instances For

      Instantiates metavariables occurring in the target and hypotheses.

      Equations
        Instances For

          Abstracts metavariables occurring in the target.

          Equations
            Instances For
              Equations
                Instances For

                  Unfolds all reducible declarations occurring in the goal's target.

                  Equations
                    Instances For

                      Beta-reduces the goal's target.

                      Equations
                        Instances For

                          If the target is not False, applies byContradiction.

                          Equations
                            Instances For

                              Clears auxiliary and implementation detail decls used to encode recursive declarations and implementation details.

                              • grind eliminates auxiliary declarations to ensure they are not accidentally used by its proof automation.
                              • grind eliminates implementation detail declarations because they have a support role.
                              Equations
                                Instances For

                                  In the grind tactic, during Expr internalization, we don't expect to find Expr.mdata. This function ensures Expr.mdata is not found during internalization. Recall that we do not internalize Expr.lam children. Recall that we still have to process Expr.forallE because of ForallProp.lean. Moreover, we may not want to reduce p → q to ¬p ∨ q when (p q : Prop).

                                  Equations
                                    Instances For

                                      Converts nested Expr.projs into projection applications if possible.

                                      Equations
                                        Instances For

                                          Normalizes universe levels in constants and sorts.

                                          Equations
                                            Instances For
                                              @[extern lean_grind_normalize]

                                              Normalizes the given expression using the grind simplification theorems and simprocs. This function is used for normalizing E-matching patterns. Note that it does not return a proof.

                                              Returns Grind.MatchCond e. We have special support for propagating is truth value. See comment at MatchCond.lean.

                                              Equations
                                                Instances For
                                                  Equations
                                                    Instances For

                                                      Returns Grind.PreMatchCond e. Recall that Grind.PreMatchCond is an identity function, but the simproc reducePreMatchCond is used to prevent the term e from being simplified. Grind.PreMatchCond is later converted into Grind.MatchCond. See comment at MatchCond.lean.

                                                      Equations
                                                        Instances For
                                                          Equations
                                                            Instances For

                                                              Converts Grind.PreMatchCond into Grind.MatchCond. Recall that Grind.PreMatchCond uses default reducibility setting, but Grind.MatchCond does not.

                                                              Equations
                                                                Instances For
                                                                  Equations
                                                                    Instances For
                                                                      Equations
                                                                        Instances For
                                                                          Equations
                                                                            Instances For