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chore: Version 0.3 #136

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4
Pantograph/Goal.lean
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@ -383,13 +383,13 @@ protected def GoalState.tryMotivatedApply (state: GoalState) (goalId: Nat) (recu
let recursor ← match (← Compile.parseTermM recursor) with
| .ok syn => pure syn
| .error error => return .parseError error
state.tryTacticM goalId (tacticM := Tactic.motivatedApply recursor)
state.tryTacticM goalId (tacticM := Tactic.evalMotivatedApply recursor)
protected def GoalState.tryNoConfuse (state: GoalState) (goalId: Nat) (eq: String):
Elab.TermElabM TacticResult := do
state.restoreElabM
let eq ← match (← Compile.parseTermM eq) with
| .ok syn => pure syn
| .error error => return .parseError error
state.tryTacticM goalId (tacticM := Tactic.noConfuse eq)
state.tryTacticM goalId (tacticM := Tactic.evalNoConfuse eq)
end Pantograph

6
Pantograph/Library.lean
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@ -192,11 +192,5 @@ def goalCalc (state: GoalState) (goalId: Nat) (pred: String): CoreM TacticResult
@[export pantograph_goal_focus]
def goalFocus (state: GoalState) (goalId: Nat): Option GoalState :=
state.focus goalId
@[export pantograph_goal_motivated_apply_m]
def goalMotivatedApply (state: GoalState) (goalId: Nat) (recursor: String): CoreM TacticResult :=
runTermElabM <| state.tryMotivatedApply goalId recursor
@[export pantograph_goal_no_confuse_m]
def goalNoConfuse (state: GoalState) (goalId: Nat) (eq: String): CoreM TacticResult :=
runTermElabM <| state.tryNoConfuse goalId eq
end Pantograph

153
Pantograph/Tactic/Congruence.lean
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@ -4,82 +4,95 @@ open Lean
namespace Pantograph.Tactic
def congruenceArg: Elab.Tactic.TacticM Unit := do
def congruenceArg (mvarId: MVarId): MetaM (List MVarId) := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.congruenceArg
let target ← mvarId.getType
let .some (β, _, _) := target.eq? | throwError "Goal is not an Eq"
let userName := (← mvarId.getDecl).userName
let u ← Meta.mkFreshLevelMVar
let α ← Meta.mkFreshExprMVar (.some $ mkSort u)
.natural (userName := userName ++ `α)
let f ← Meta.mkFreshExprMVar (.some <| .forallE .anonymous α β .default)
.synthetic (userName := userName ++ `f)
let a₁ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₁)
let a₂ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₂)
let h ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq a₁ a₂)
.synthetic (userName := userName ++ `h)
let conduitType ← Meta.mkEq (← Meta.mkEq (.app f a₁) (.app f a₂)) target
let conduit ← Meta.mkFreshExprMVar conduitType
.synthetic (userName := userName ++ `conduit)
mvarId.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongrArg f h)
let result := [α, a₁, a₂, f, h, conduit]
return result.map (·.mvarId!)
def evalCongruenceArg: Elab.Tactic.TacticM Unit := do
let goal ← Elab.Tactic.getMainGoal
let .some (β, _, _) := (← goal.getType).eq? | throwError "Goal is not an Eq"
let userName := (← goal.getDecl).userName
let nextGoals ← congruenceArg goal
Elab.Tactic.setGoals nextGoals
let nextGoals ← goal.withContext do
let u ← Meta.mkFreshLevelMVar
let α ← Meta.mkFreshExprMVar (.some $ mkSort u)
.natural (userName := userName ++ `α)
let f ← Meta.mkFreshExprMVar (.some <| .forallE .anonymous α β .default)
.synthetic (userName := userName ++ `f)
let a₁ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₁)
let a₂ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₂)
let h ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq a₁ a₂)
.synthetic (userName := userName ++ `h)
let conduitType ← Meta.mkEq (← Meta.mkEq (.app f a₁) (.app f a₂)) (← goal.getType)
let conduit ← Meta.mkFreshExprMVar conduitType
.synthetic (userName := userName ++ `conduit)
goal.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongrArg f h)
return [α, a₁, a₂, f, h, conduit]
Elab.Tactic.setGoals <| nextGoals.map (·.mvarId!)
def congruenceFun (mvarId: MVarId): MetaM (List MVarId) := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.congruenceFun
let target ← mvarId.getType
let .some (β, _, _) := target.eq? | throwError "Goal is not an Eq"
let userName := (← mvarId.getDecl).userName
let u ← Meta.mkFreshLevelMVar
let α ← Meta.mkFreshExprMVar (.some $ mkSort u)
.natural (userName := userName ++ `α)
let fType := .forallE .anonymous α β .default
let f₁ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₁)
let f₂ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₂)
let a ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a)
let h ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq f₁ f₂)
.synthetic (userName := userName ++ `h)
let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a) (.app f₂ a)) target
let conduit ← Meta.mkFreshExprMVar conduitType
.synthetic (userName := userName ++ `conduit)
mvarId.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongrFun h a)
let result := [α, f₁, f₂, h, a, conduit]
return result.map (·.mvarId!)
def congruenceFun: Elab.Tactic.TacticM Unit := do
def evalCongruenceFun: Elab.Tactic.TacticM Unit := do
let goal ← Elab.Tactic.getMainGoal
let .some (β, _, _) := (← goal.getType).eq? | throwError "Goal is not an Eq"
let userName := (← goal.getDecl).userName
let nextGoals ← congruenceFun goal
Elab.Tactic.setGoals nextGoals
let nextGoals ← goal.withContext do
let u ← Meta.mkFreshLevelMVar
let α ← Meta.mkFreshExprMVar (.some $ mkSort u)
.natural (userName := userName ++ `α)
let fType := .forallE .anonymous α β .default
let f₁ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₁)
let f₂ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₂)
let a ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a)
let h ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq f₁ f₂)
.synthetic (userName := userName ++ `h)
let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a) (.app f₂ a)) (← goal.getType)
let conduit ← Meta.mkFreshExprMVar conduitType
.synthetic (userName := userName ++ `conduit)
goal.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongrFun h a)
return [α, f₁, f₂, h, a, conduit]
Elab.Tactic.setGoals <| nextGoals.map (·.mvarId!)
def congruence (mvarId: MVarId): MetaM (List MVarId) := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.congruence
let target ← mvarId.getType
let .some (β, _, _) := target.eq? | throwError "Goal is not an Eq"
let userName := (← mvarId.getDecl).userName
let u ← Meta.mkFreshLevelMVar
let α ← Meta.mkFreshExprMVar (.some $ mkSort u)
.natural (userName := userName ++ `α)
let fType := .forallE .anonymous α β .default
let f₁ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₁)
let f₂ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₂)
let a₁ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₁)
let a₂ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₂)
let h₁ ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq f₁ f₂)
.synthetic (userName := userName ++ `h₁)
let h₂ ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq a₁ a₂)
.synthetic (userName := userName ++ `h₂)
let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a₁) (.app f₂ a₂)) target
let conduit ← Meta.mkFreshExprMVar conduitType
.synthetic (userName := userName ++ `conduit)
mvarId.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongr h₁ h₂)
let result := [α, f₁, f₂, a₁, a₂, h₁, h₂, conduit]
return result.map (·.mvarId!)
def congruence: Elab.Tactic.TacticM Unit := do
def evalCongruence: Elab.Tactic.TacticM Unit := do
let goal ← Elab.Tactic.getMainGoal
let .some (β, _, _) := (← goal.getType).eq? | throwError "Goal is not an Eq"
let userName := (← goal.getDecl).userName
let nextGoals ← goal.withContext do
let u ← Meta.mkFreshLevelMVar
let α ← Meta.mkFreshExprMVar (.some $ mkSort u)
.natural (userName := userName ++ `α)
let fType := .forallE .anonymous α β .default
let f₁ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₁)
let f₂ ← Meta.mkFreshExprMVar (.some fType)
.synthetic (userName := userName ++ `f₂)
let a₁ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₁)
let a₂ ← Meta.mkFreshExprMVar (.some α)
.synthetic (userName := userName ++ `a₂)
let h₁ ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq f₁ f₂)
.synthetic (userName := userName ++ `h₁)
let h₂ ← Meta.mkFreshExprMVar (.some $ ← Meta.mkEq a₁ a₂)
.synthetic (userName := userName ++ `h₂)
let conduitType ← Meta.mkEq (← Meta.mkEq (.app f₁ a₁) (.app f₂ a₂)) (← goal.getType)
let conduit ← Meta.mkFreshExprMVar conduitType
.synthetic (userName := userName ++ `conduit)
goal.assign $ ← Meta.mkEqMP conduit (← Meta.mkCongr h₁ h₂)
return [α, f₁, f₂, a₁, a₂, h₁, h₂, conduit]
Elab.Tactic.setGoals <| nextGoals.map (·.mvarId!)
let nextGoals ← congruence goal
Elab.Tactic.setGoals nextGoals
end Pantograph.Tactic

68
Pantograph/Tactic/MotivatedApply.lean
View File

@ -62,44 +62,44 @@ def collectMotiveArguments (forallBody: Expr): SSet Nat :=
| _ => SSet.empty
/-- Applies a symbol of the type `∀ (motive: α → Sort u) (a: α)..., (motive α)` -/
def motivatedApply: Elab.Tactic.Tactic := λ stx => do
let goal ← Elab.Tactic.getMainGoal
let nextGoals: List MVarId ← goal.withContext do
let recursor ← Elab.Term.elabTerm (stx := stx) .none
let recursorType ← Meta.inferType recursor
def motivatedApply (mvarId: MVarId) (recursor: Expr) : MetaM (List Meta.InductionSubgoal) := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.motivatedApply
let recursorType ← Meta.inferType recursor
let resultant ← mvarId.getType
let resultant ← goal.getType
let info ← match getRecursorInformation recursorType with
| .some info => pure info
| .none => throwError "Recursor return type does not correspond with the invocation of a motive: {← Meta.ppExpr recursorType}"
let info ← match getRecursorInformation recursorType with
| .some info => pure info
| .none => throwError "Recursor return type does not correspond with the invocation of a motive: {← Meta.ppExpr recursorType}"
let rec go (i: Nat) (prev: Array Expr): MetaM (Array Expr) := do
if i ≥ info.nArgs then
return prev
else
let argType := info.args.get! i
-- If `argType` has motive references, its goal needs to be placed in it
let argType := argType.instantiateRev prev
let bvarIndex := info.nArgs - i - 1
let argGoal ← if bvarIndex = info.iMotive then
let surrogateMotiveType ← info.surrogateMotiveType prev resultant
Meta.mkFreshExprMVar surrogateMotiveType .syntheticOpaque (userName := `motive)
else
Meta.mkFreshExprMVar argType .syntheticOpaque (userName := .anonymous)
let prev := prev ++ [argGoal]
go (i + 1) prev
termination_by info.nArgs - i
let mut newMVars ← go 0 #[]
let rec go (i: Nat) (prev: Array Expr): MetaM (Array Expr) := do
if i ≥ info.nArgs then
return prev
else
let argType := info.args.get! i
-- If `argType` has motive references, its goal needs to be placed in it
let argType := argType.instantiateRev prev
let bvarIndex := info.nArgs - i - 1
let argGoal ← if bvarIndex = info.iMotive then
let surrogateMotiveType ← info.surrogateMotiveType prev resultant
Meta.mkFreshExprMVar surrogateMotiveType .syntheticOpaque (userName := `motive)
else
Meta.mkFreshExprMVar argType .syntheticOpaque (userName := .anonymous)
let prev := prev ++ [argGoal]
go (i + 1) prev
termination_by info.nArgs - i
let mut newMVars ← go 0 #[]
-- Create the conduit type which proves the result of the motive is equal to the goal
let conduitType ← info.conduitType newMVars resultant
let goalConduit ← Meta.mkFreshExprMVar conduitType .natural (userName := `conduit)
mvarId.assign $ ← Meta.mkEqMP goalConduit (mkAppN recursor newMVars)
newMVars := newMVars ++ [goalConduit]
-- Create the conduit type which proves the result of the motive is equal to the goal
let conduitType ← info.conduitType newMVars resultant
let goalConduit ← Meta.mkFreshExprMVar conduitType .natural (userName := `conduit)
goal.assign $ ← Meta.mkEqMP goalConduit (mkAppN recursor newMVars)
newMVars := newMVars ++ [goalConduit]
return newMVars.toList.map (λ mvar => { mvarId := mvar.mvarId!})
let nextGoals := newMVars.toList.map (·.mvarId!)
pure nextGoals
Elab.Tactic.setGoals nextGoals
def evalMotivatedApply : Elab.Tactic.Tactic := fun stx => Elab.Tactic.withMainContext do
let recursor ← Elab.Term.elabTerm (stx := stx) .none
let nextGoals ← motivatedApply (← Elab.Tactic.getMainGoal) recursor
Elab.Tactic.setGoals $ nextGoals.map (·.mvarId)
end Pantograph.Tactic

20
Pantograph/Tactic/NoConfuse.lean
View File

@ -4,15 +4,19 @@ open Lean
namespace Pantograph.Tactic
def noConfuse: Elab.Tactic.Tactic := λ stx => do
let goal ← Elab.Tactic.getMainGoal
goal.withContext do
let absurd ← Elab.Term.elabTerm (stx := stx) .none
let noConfusion ← Meta.mkNoConfusion (target := ← goal.getType) (h := absurd)
def noConfuse (mvarId: MVarId) (h: Expr): MetaM Unit := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.noConfuse
let target ← mvarId.getType
let noConfusion ← Meta.mkNoConfusion (target := target) (h := h)
unless ← Meta.isDefEq (← Meta.inferType noConfusion) (← goal.getType) do
throwError "invalid noConfuse call: The resultant type {← Meta.ppExpr $ ← Meta.inferType noConfusion} cannot be unified with {← Meta.ppExpr $ ← goal.getType}"
goal.assign noConfusion
unless ← Meta.isDefEq (← Meta.inferType noConfusion) target do
throwError "invalid noConfuse call: The resultant type {← Meta.ppExpr $ ← Meta.inferType noConfusion} cannot be unified with {← Meta.ppExpr target}"
mvarId.assign noConfusion
def evalNoConfuse: Elab.Tactic.Tactic := λ stx => do
let goal ← Elab.Tactic.getMainGoal
let h ← goal.withContext $ Elab.Term.elabTerm (stx := stx) .none
noConfuse goal h
Elab.Tactic.setGoals []
end Pantograph.Tactic

8
Test/Tactic/Congruence.lean
View File

@ -12,7 +12,7 @@ def test_congr_arg_list : TestT Elab.TermElabM Unit := do
let expr ← parseSentence expr
Meta.lambdaTelescope expr $ λ _ body => do
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let newGoals ← runTacticOnMVar Tactic.congruenceArg target.mvarId!
let newGoals ← runTacticOnMVar Tactic.evalCongruenceArg target.mvarId!
addTest $ LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
[
(`α, "Sort ?u.30"),
@ -34,7 +34,7 @@ def test_congr_arg : TestT Elab.TermElabM Unit := do
let expr ← parseSentence expr
Meta.lambdaTelescope expr $ λ _ body => do
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let newGoals ← runTacticOnMVar Tactic.congruenceArg target.mvarId!
let newGoals ← runTacticOnMVar Tactic.evalCongruenceArg target.mvarId!
addTest $ LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
[
(`α, "Sort ?u.70"),
@ -49,7 +49,7 @@ def test_congr_fun : TestT Elab.TermElabM Unit := do
let expr ← parseSentence expr
Meta.lambdaTelescope expr $ λ _ body => do
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let newGoals ← runTacticOnMVar Tactic.congruenceFun target.mvarId!
let newGoals ← runTacticOnMVar Tactic.evalCongruenceFun target.mvarId!
addTest $ LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
[
(`α, "Sort ?u.159"),
@ -64,7 +64,7 @@ def test_congr : TestT Elab.TermElabM Unit := do
let expr ← parseSentence expr
Meta.lambdaTelescope expr $ λ _ body => do
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let newGoals ← runTacticOnMVar Tactic.congruence target.mvarId!
let newGoals ← runTacticOnMVar Tactic.evalCongruence target.mvarId!
addTest $ LSpec.check "goals" ((← newGoals.mapM (λ x => mvarUserNameAndType x)) =
[
(`α, "Sort ?u.10"),

6
Test/Tactic/MotivatedApply.lean
View File

@ -33,7 +33,7 @@ def test_nat_brec_on : TestT Elab.TermElabM Unit := do
| .error error => throwError "Failed to parse: {error}"
-- Apply the tactic
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let tactic := Tactic.motivatedApply recursor
let tactic := Tactic.evalMotivatedApply recursor
let newGoals ← runTacticOnMVar tactic target.mvarId!
let test := LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =
[
@ -57,7 +57,7 @@ def test_list_brec_on : TestT Elab.TermElabM Unit := do
| .error error => throwError "Failed to parse: {error}"
-- Apply the tactic
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let tactic := Tactic.motivatedApply recursor
let tactic := Tactic.evalMotivatedApply recursor
let newGoals ← runTacticOnMVar tactic target.mvarId!
addTest $ LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =
[
@ -81,7 +81,7 @@ def test_partial_motive_instantiation : TestT Elab.TermElabM Unit := do
Meta.lambdaTelescope expr $ λ _ body => do
-- Apply the tactic
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let tactic := Tactic.motivatedApply recursor
let tactic := Tactic.evalMotivatedApply recursor
let newGoals ← runTacticOnMVar tactic target.mvarId!
let majorId := 67
addTest $ (LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) =

6
Test/Tactic/NoConfuse.lean
View File

@ -20,7 +20,7 @@ def test_nat : TestT Elab.TermElabM Unit := do
| .error error => throwError "Failed to parse: {error}"
-- Apply the tactic
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let tactic := Tactic.noConfuse recursor
let tactic := Tactic.evalNoConfuse recursor
let newGoals ← runTacticOnMVar tactic target.mvarId!
addTest $ LSpec.check "goals" ((← newGoals.mapM (λ g => do exprToStr (← g.getType))) = [])
@ -38,7 +38,7 @@ def test_nat_fail : TestT Elab.TermElabM Unit := do
-- Apply the tactic
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
try
let tactic := Tactic.noConfuse recursor
let tactic := Tactic.evalNoConfuse recursor
let _ ← runTacticOnMVar tactic target.mvarId!
addTest $ assertUnreachable "Tactic should fail"
catch _ =>
@ -57,7 +57,7 @@ def test_list : TestT Elab.TermElabM Unit := do
| .error error => throwError "Failed to parse: {error}"
-- Apply the tactic
let target ← Meta.mkFreshExprSyntheticOpaqueMVar body
let tactic := Tactic.noConfuse recursor
let tactic := Tactic.evalNoConfuse recursor
let newGoals ← runTacticOnMVar tactic target.mvarId!
addTest $ LSpec.check "goals"
((← newGoals.mapM (λ g => do exprToStr (← g.getType))) = [])