Documentation

Lean.Meta.Tactic.Simp.Main

Helper method for bootstrapping purposes. It disables arith if support theorems have not been defined yet.

Equations
  • One or more equations did not get rendered due to their size.
Instances For

    Return true if e is of the form ofNat n where n is a kernel Nat literal

    Equations
    Instances For

      If e is a raw Nat literal and OfNat.ofNat is not in the list of declarations to unfold, return an OfNat.ofNat-application.

      Equations
      • One or more equations did not get rendered due to their size.
      Instances For

        Return true if e is of the form ofScientific n b m where n and m are kernel Nat literals.

        Equations
        Instances For

          Return true if e is of the form Char.ofNat n where n is a kernel Nat literals.

          Equations
          Instances For
            Equations
            Equations
            • One or more equations did not get rendered due to their size.
            Instances For

              We use withNewlemmas whenever updating the local context.

              Equations
              • One or more equations did not get rendered due to their size.
              Instances For
                Equations
                • One or more equations did not get rendered due to their size.
                Instances For
                  Equations
                  Instances For
                    Equations
                    • One or more equations did not get rendered due to their size.
                    Instances For
                      Equations
                      • One or more equations did not get rendered due to their size.
                      Instances For
                        Equations
                        • One or more equations did not get rendered due to their size.
                        Instances For
                          Equations
                          • One or more equations did not get rendered due to their size.
                          Instances For
                            Equations
                            • One or more equations did not get rendered due to their size.
                            Instances For
                              Equations
                              • One or more equations did not get rendered due to their size.
                              Instances For

                                Process the given congruence theorem hypothesis. Return true if it made "progress".

                                Equations
                                • One or more equations did not get rendered due to their size.
                                Instances For

                                  Try to rewrite e children using the given congruence theorem

                                  Equations
                                  • One or more equations did not get rendered due to their size.
                                  Instances For
                                    Equations
                                    • One or more equations did not get rendered due to their size.
                                    Instances For
                                      Equations
                                      • One or more equations did not get rendered due to their size.
                                      Instances For
                                        Equations
                                        • One or more equations did not get rendered due to their size.
                                        Instances For
                                          Equations
                                          • One or more equations did not get rendered due to their size.
                                          Instances For
                                            @[export lean_simp]
                                            Equations
                                            • One or more equations did not get rendered due to their size.
                                            Instances For
                                              Equations
                                              • One or more equations did not get rendered due to their size.
                                              Instances For
                                                @[inline]
                                                Equations
                                                • One or more equations did not get rendered due to their size.
                                                Instances For
                                                  def Lean.Meta.Simp.main (e : Lean.Expr) (ctx : Lean.Meta.Simp.Context) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) (methods : optParam Lean.Meta.Simp.Methods { pre := fun (x : Lean.Expr) => pure Lean.Meta.Simp.Step.continue, post := fun (e : Lean.Expr) => pure (Lean.Meta.Simp.Step.done { expr := e, proof? := none, cache := true }), dpre := fun (x : Lean.Expr) => pure Lean.TransformStep.continue, dpost := fun (e : Lean.Expr) => pure (Lean.TransformStep.done e), discharge? := fun (x : Lean.Expr) => pure none, wellBehavedDischarge := true }) :
                                                  Equations
                                                  • One or more equations did not get rendered due to their size.
                                                  Instances For
                                                    Equations
                                                    • One or more equations did not get rendered due to their size.
                                                    Instances For
                                                      def Lean.Meta.Simp.dsimpMain (e : Lean.Expr) (ctx : Lean.Meta.Simp.Context) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) (methods : optParam Lean.Meta.Simp.Methods { pre := fun (x : Lean.Expr) => pure Lean.Meta.Simp.Step.continue, post := fun (e : Lean.Expr) => pure (Lean.Meta.Simp.Step.done { expr := e, proof? := none, cache := true }), dpre := fun (x : Lean.Expr) => pure Lean.TransformStep.continue, dpost := fun (e : Lean.Expr) => pure (Lean.TransformStep.done e), discharge? := fun (x : Lean.Expr) => pure none, wellBehavedDischarge := true }) :
                                                      Equations
                                                      • One or more equations did not get rendered due to their size.
                                                      Instances For
                                                        Equations
                                                        • One or more equations did not get rendered due to their size.
                                                        Instances For
                                                          def Lean.Meta.simp (e : Lean.Expr) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (discharge? : optParam (Option Lean.Meta.Simp.Discharge) none) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :
                                                          Equations
                                                          • One or more equations did not get rendered due to their size.
                                                          Instances For
                                                            def Lean.Meta.dsimp (e : Lean.Expr) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :
                                                            Equations
                                                            • One or more equations did not get rendered due to their size.
                                                            Instances For
                                                              def Lean.Meta.simpTargetCore (mvarId : Lean.MVarId) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (discharge? : optParam (Option Lean.Meta.Simp.Discharge) none) (mayCloseGoal : optParam Bool true) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :

                                                              See simpTarget. This method assumes mvarId is not assigned, and we are already using mvarIds local context.

                                                              Equations
                                                              • One or more equations did not get rendered due to their size.
                                                              Instances For
                                                                def Lean.Meta.simpTarget (mvarId : Lean.MVarId) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (discharge? : optParam (Option Lean.Meta.Simp.Discharge) none) (mayCloseGoal : optParam Bool true) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :

                                                                Simplify the given goal target (aka type). Return none if the goal was closed. Return some mvarId' otherwise, where mvarId' is the simplified new goal.

                                                                Equations
                                                                • One or more equations did not get rendered due to their size.
                                                                Instances For

                                                                  Apply the result r for prop (which is inhabited by proof). Return none if the goal was closed. Return some (proof', prop') otherwise, where proof' : prop' and prop' is the simplified prop.

                                                                  This method assumes mvarId is not assigned, and we are already using mvarIds local context.

                                                                  Equations
                                                                  • One or more equations did not get rendered due to their size.
                                                                  Instances For
                                                                    Equations
                                                                    Instances For
                                                                      def Lean.Meta.simpStep (mvarId : Lean.MVarId) (proof : Lean.Expr) (prop : Lean.Expr) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (discharge? : optParam (Option Lean.Meta.Simp.Discharge) none) (mayCloseGoal : optParam Bool true) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :

                                                                      Simplify prop (which is inhabited by proof). Return none if the goal was closed. Return some (proof', prop') otherwise, where proof' : prop' and prop' is the simplified prop.

                                                                      This method assumes mvarId is not assigned, and we are already using mvarIds local context.

                                                                      Equations
                                                                      • One or more equations did not get rendered due to their size.
                                                                      Instances For
                                                                        Equations
                                                                        • One or more equations did not get rendered due to their size.
                                                                        Instances For

                                                                          Simplify simp result to the given local declaration. Return none if the goal was closed. This method assumes mvarId is not assigned, and we are already using mvarIds local context.

                                                                          Equations
                                                                          • One or more equations did not get rendered due to their size.
                                                                          Instances For
                                                                            def Lean.Meta.simpLocalDecl (mvarId : Lean.MVarId) (fvarId : Lean.FVarId) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (discharge? : optParam (Option Lean.Meta.Simp.Discharge) none) (mayCloseGoal : optParam Bool true) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :
                                                                            Equations
                                                                            • One or more equations did not get rendered due to their size.
                                                                            Instances For
                                                                              def Lean.Meta.simpGoal (mvarId : Lean.MVarId) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (discharge? : optParam (Option Lean.Meta.Simp.Discharge) none) (simplifyTarget : optParam Bool true) (fvarIdsToSimp : optParam (Array Lean.FVarId) #[]) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :
                                                                              Equations
                                                                              • One or more equations did not get rendered due to their size.
                                                                              Instances For
                                                                                def Lean.Meta.simpTargetStar (mvarId : Lean.MVarId) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (discharge? : optParam (Option Lean.Meta.Simp.Discharge) none) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :
                                                                                Equations
                                                                                • One or more equations did not get rendered due to their size.
                                                                                Instances For
                                                                                  def Lean.Meta.dsimpGoal (mvarId : Lean.MVarId) (ctx : Lean.Meta.Simp.Context) (simprocs : optParam Lean.Meta.Simp.SimprocsArray #[]) (simplifyTarget : optParam Bool true) (fvarIdsToSimp : optParam (Array Lean.FVarId) #[]) (stats : optParam Lean.Meta.Simp.Stats { usedTheorems := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, diag := { usedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, triedThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, congrThmCounter := { root := Lean.PersistentHashMap.Node.entries Lean.PersistentHashMap.mkEmptyEntriesArray, size := 0 }, thmsWithBadKeys := { root := Lean.PersistentArrayNode.node (Array.mkEmpty Lean.PersistentArray.branching.toNat), tail := Array.mkEmpty Lean.PersistentArray.branching.toNat, size := 0, shift := Lean.PersistentArray.initShift, tailOff := 0 } } }) :
                                                                                  Equations
                                                                                  • One or more equations did not get rendered due to their size.
                                                                                  Instances For