feat: Elementarized tactics with motives, congruence, and absurdity #72
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@ -80,6 +80,70 @@ private def newMVarSet (mctxOld: @&MetavarContext) (mctxNew: @&MetavarContext):
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acc.insert mvarId
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) SSet.empty
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protected def GoalState.focus (state: GoalState) (goalId: Nat): Option GoalState := do
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let goal ← state.savedState.tactic.goals.get? goalId
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return {
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state with
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savedState := {
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state.savedState with
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tactic := { goals := [goal] },
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},
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calcPrevRhs? := .none,
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}
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/--
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Brings into scope a list of goals
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-/
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protected def GoalState.resume (state: GoalState) (goals: List MVarId): Except String GoalState :=
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if ¬ (goals.all (λ goal => state.mvars.contains goal)) then
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.error s!"Goals not in scope"
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else
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-- Set goals to the goals that have not been assigned yet, similar to the `focus` tactic.
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let unassigned := goals.filter (λ goal =>
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let mctx := state.mctx
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¬(mctx.eAssignment.contains goal || mctx.dAssignment.contains goal))
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.ok {
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state with
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savedState := {
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term := state.savedState.term,
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tactic := { goals := unassigned },
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},
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calcPrevRhs? := .none,
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}
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/--
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Brings into scope all goals from `branch`
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-/
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protected def GoalState.continue (target: GoalState) (branch: GoalState): Except String GoalState :=
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if !target.goals.isEmpty then
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.error s!"Target state has unresolved goals"
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else if target.root != branch.root then
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.error s!"Roots of two continued goal states do not match: {target.root.name} != {branch.root.name}"
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else
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target.resume (goals := branch.goals)
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protected def GoalState.rootExpr? (goalState: GoalState): Option Expr := do
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let expr ← goalState.mctx.eAssignment.find? goalState.root
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let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
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if expr.hasMVar then
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-- Must not assert that the goal state is empty here. We could be in a branch goal.
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--assert! ¬goalState.goals.isEmpty
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.none
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else
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assert! goalState.goals.isEmpty
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return expr
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protected def GoalState.parentExpr? (goalState: GoalState): Option Expr := do
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let parent ← goalState.parentMVar?
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let expr := goalState.mctx.eAssignment.find! parent
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let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
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return expr
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protected def GoalState.assignedExprOf? (goalState: GoalState) (mvar: MVarId): Option Expr := do
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let expr ← goalState.mctx.eAssignment.find? mvar
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let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
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return expr
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--- Tactic execution functions ---
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/-- Inner function for executing tactic on goal state -/
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def executeTactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: Syntax) :
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Elab.TermElabM (Except (Array String) Elab.Tactic.SavedState):= do
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@ -446,67 +510,4 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
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catch exception =>
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return .failure #[← exception.toMessageData.toString]
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protected def GoalState.focus (state: GoalState) (goalId: Nat): Option GoalState := do
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let goal ← state.savedState.tactic.goals.get? goalId
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return {
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state with
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savedState := {
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state.savedState with
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tactic := { goals := [goal] },
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},
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calcPrevRhs? := .none,
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}
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/--
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Brings into scope a list of goals
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-/
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protected def GoalState.resume (state: GoalState) (goals: List MVarId): Except String GoalState :=
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if ¬ (goals.all (λ goal => state.mvars.contains goal)) then
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.error s!"Goals not in scope"
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else
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-- Set goals to the goals that have not been assigned yet, similar to the `focus` tactic.
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let unassigned := goals.filter (λ goal =>
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let mctx := state.mctx
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¬(mctx.eAssignment.contains goal || mctx.dAssignment.contains goal))
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.ok {
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state with
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savedState := {
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term := state.savedState.term,
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tactic := { goals := unassigned },
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},
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calcPrevRhs? := .none,
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}
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/--
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Brings into scope all goals from `branch`
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-/
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protected def GoalState.continue (target: GoalState) (branch: GoalState): Except String GoalState :=
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if !target.goals.isEmpty then
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.error s!"Target state has unresolved goals"
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else if target.root != branch.root then
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.error s!"Roots of two continued goal states do not match: {target.root.name} != {branch.root.name}"
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else
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target.resume (goals := branch.goals)
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protected def GoalState.rootExpr? (goalState: GoalState): Option Expr := do
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let expr ← goalState.mctx.eAssignment.find? goalState.root
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let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
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if expr.hasMVar then
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-- Must not assert that the goal state is empty here. We could be in a branch goal.
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--assert! ¬goalState.goals.isEmpty
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.none
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else
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assert! goalState.goals.isEmpty
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return expr
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protected def GoalState.parentExpr? (goalState: GoalState): Option Expr := do
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let parent ← goalState.parentMVar?
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let expr := goalState.mctx.eAssignment.find! parent
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let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
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return expr
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protected def GoalState.assignedExprOf? (goalState: GoalState) (mvar: MVarId): Option Expr := do
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let expr ← goalState.mctx.eAssignment.find? mvar
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let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
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return expr
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end Pantograph
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