feat: Elementarized tactics with motives, congruence, and absurdity #72

Merged
aniva merged 41 commits from goal/mapply into dev 2024-06-12 13:52:46 -07:00
3 changed files with 25 additions and 15 deletions
Showing only changes of commit fec13ddb51 - Show all commits

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@ -232,7 +232,7 @@ protected def GoalState.assign (state: GoalState) (goal: MVarId) (expr: Expr):
-- Generate a list of mvarIds that exist in the parent state; Also test the
-- assertion that the types have not changed on any mvars.
let newMVars := newMVarSet prevMCtx nextMCtx
let nextGoals ← newMVars.toList.filterM (λ mvar => do pure !(← mvar.isAssigned))
let nextGoals ← newMVars.toList.filterM (not <$> ·.isAssigned)
return .success {
root := state.root,
savedState := {
@ -521,13 +521,9 @@ def getForallArgsBody: Expr → List Expr × Expr
(d :: innerArgs, innerBody)
| e => ([], e)
def collectMotiveArguments (forallBody: Expr): SSet Nat :=
-- Get all de Bruijn indices
Id.run $ do
Expr.foldlM (λ acc subexpr => do
match subexpr with
| .app (.bvar i) _ => return acc.insert i
| _ => return acc
) SSet.empty forallBody
match forallBody with
| .app (.bvar i) _ => SSet.empty.insert i
| _ => SSet.empty
protected def GoalState.tryMotivatedApply (state: GoalState) (goalId: Nat) (recursor: String):
Elab.TermElabM TacticResult := do
@ -552,6 +548,7 @@ protected def GoalState.tryMotivatedApply (state: GoalState) (goalId: Nat) (recu
let (forallArgs, forallBody) := getForallArgsBody recursorType
let motiveIndices := collectMotiveArguments forallBody
--IO.println s!"{motiveIndices.toList} from {← Meta.ppExpr forallBody}"
let numArgs ← Meta.getExpectedNumArgs recursorType
@ -563,16 +560,26 @@ protected def GoalState.tryMotivatedApply (state: GoalState) (goalId: Nat) (recu
-- If `argType` has motive references, its goal needs to be placed in it
let argType := argType.instantiateRev prev
-- Create the goal
let argGoal ← Meta.mkFreshExprMVar argType .natural .anonymous
let userName := if motiveIndices.contains (numArgs - i - 1) then `motive else .anonymous
let argGoal ← Meta.mkFreshExprMVar argType .syntheticOpaque (userName := userName)
IO.println s!"Creating [{i}] {← Meta.ppExpr argGoal}"
let prev := prev ++ [argGoal]
go (i + 1) prev
termination_by numArgs - i
let newMVars ← go 0 #[]
-- FIXME: Add an `Eq` target and swap out the motive type
--let sourceType := forallBody.instantiateRev newMVars
--unless ← withTheReader Meta.Context (λ ctx => { ctx with config := { ctx.config with } }) $
-- Meta.isDefEq sourceType (← goal.getType) do
-- throwError "invalid mapply: The resultant type {← Meta.ppExpr sourceType} cannot be unified with {← Meta.ppExpr $ ← goal.getType}"
-- Create the main goal for the return type of the recursor
goal.assign (mkAppN recursor newMVars)
pure $ newMVars.toList.map (·.mvarId!)
let nextGoals ← newMVars.toList.map (·.mvarId!) |>.filterM (not <$> ·.isAssigned)
pure nextGoals
return .success {
root := state.root,
savedState := {

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@ -38,7 +38,7 @@ namespace Pantograph
def defaultTermElabMContext: Lean.Elab.Term.Context := {
autoBoundImplicit := true,
declName? := some "_pantograph".toName,
declName? := .some `_pantograph,
errToSorry := false
}
def runMetaM { α } (metaM: Lean.MetaM α): Lean.CoreM α :=

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@ -49,9 +49,11 @@ def startProof (start: Start): TestM (Option GoalState) := do
let goal ← GoalState.create (expr := expr)
return Option.some goal
def buildNamedGoal (name: String) (nameType: List (String × String)) (target: String): Protocol.Goal :=
def buildNamedGoal (name: String) (nameType: List (String × String)) (target: String)
(userName?: Option String := .none): Protocol.Goal :=
{
name,
userName?,
target := { pp? := .some target},
vars := (nameType.map fun x => ({
userName := x.fst,
@ -59,7 +61,8 @@ def buildNamedGoal (name: String) (nameType: List (String × String)) (target: S
isInaccessible? := .some false
})).toArray
}
def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none): Protocol.Goal :=
def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none):
Protocol.Goal :=
{
userName?,
target := { pp? := .some target},
@ -658,9 +661,9 @@ def test_nat_zero_add: TestM Unit := do
return ()
addTest $ LSpec.check s!"mapply {recursor}" ((← state2.serializeGoals (options := ← read)).map (·.devolatilizeVars) =
#[
buildNamedGoal "_uniq.70" [("n", "Nat")] "Nat → Sort ?u.66",
buildNamedGoal "_uniq.70" [("n", "Nat")] "Nat → Sort ?u.66" (.some "motive"),
buildNamedGoal "_uniq.71" [("n", "Nat")] "Nat",
buildNamedGoal "_uniq.72" [("n", "Nat")] "(t : Nat) → Nat.below t → ?m.70 t"
buildNamedGoal "_uniq.72" [("n", "Nat")] "(t : Nat) → Nat.below t → ?motive t"
])
let tactic := "exact n"