Documentation

Lean.Meta.Tactic.Apply

Controls which new mvars are turned in to goals by the apply tactic.

  • nonDependentFirst mvars that don't depend on other goals appear first in the goal list.
  • nonDependentOnly only mvars that don't depend on other goals are added to goal list.
  • all all unassigned mvars are added to the goal list.
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    Configures the behaviour of the apply tactic.

    • synthAssignedInstances : Bool

      If synthAssignedInstances is true, then apply will synthesize instance implicit arguments even if they have assigned by isDefEq, and then check whether the synthesized value matches the one inferred. The congr tactic sets this flag to false.

    • allowSynthFailures : Bool

      If allowSynthFailures is true, then apply will return instance implicit arguments for which typeclass search failed as new goals.

    • approx : Bool

      If approx := true, then we turn on isDefEq approximations. That is, we use the approxDefEq combinator.

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      Compute the number of expected arguments and whether the result type is of the form (?m ...) where ?m is an unassigned metavariable.

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          def Lean.Meta.synthAppInstances (tacticName : Lake.Name) (mvarId : Lean.MVarId) (newMVars : Array Lean.Expr) (binderInfos : Array Lean.BinderInfo) (synthAssignedInstances : Bool) (allowSynthFailures : Bool) :
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              def Lean.Meta.postprocessAppMVars (tacticName : Lake.Name) (mvarId : Lean.MVarId) (newMVars : Array Lean.Expr) (binderInfos : Array Lean.BinderInfo) (synthAssignedInstances : optParam Bool true) (allowSynthFailures : optParam Bool false) :

              If synthAssignedInstances is true, then apply will synthesize instance implicit arguments even if they have assigned by isDefEq, and then check whether the synthesized value matches the one inferred. The congr tactic sets this flag to false.

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                def Lean.MVarId.apply (mvarId : Lean.MVarId) (e : Lean.Expr) (cfg : optParam Lean.Meta.ApplyConfig { newGoals := Lean.Meta.ApplyNewGoals.nonDependentFirst, synthAssignedInstances := true, allowSynthFailures := false, approx := true }) :

                Close the given goal using apply e.

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                  def Lean.MVarId.apply.go (mvarId : Lean.MVarId) (cfg : optParam Lean.Meta.ApplyConfig { newGoals := Lean.Meta.ApplyNewGoals.nonDependentFirst, synthAssignedInstances := true, allowSynthFailures := false, approx := true }) (targetType : Lean.Expr) (eType : Lean.Expr) (rangeNumArgs : Std.Range) (i : Nat) :
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                    @[deprecated Lean.MVarId.apply]
                    def Lean.Meta.apply (mvarId : Lean.MVarId) (e : Lean.Expr) (cfg : optParam Lean.Meta.ApplyConfig { newGoals := Lean.Meta.ApplyNewGoals.nonDependentFirst, synthAssignedInstances := true, allowSynthFailures := false, approx := true }) :
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                        @[inline, reducible]

                        Apply And.intro as much as possible to goal mvarId.

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                          @[deprecated Lean.MVarId.splitAnd]
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