feat: Elementarized tactics with motives, congruence, and absurdity #72
|
@ -22,7 +22,6 @@ structure RecursorWithMotive where
|
|||
|
||||
-- .bvar index for the motive and major from the body
|
||||
iMotive: Nat
|
||||
iMajor: Nat
|
||||
|
||||
namespace RecursorWithMotive
|
||||
|
||||
|
@ -39,22 +38,22 @@ protected def surrogateMotiveType (info: RecursorWithMotive) (resultant: Expr):
|
|||
return replaceForallBody motiveType resultantType
|
||||
|
||||
protected def phantomType (info: RecursorWithMotive) (mvars: Array Expr) (resultant: Expr): MetaM Expr := do
|
||||
let goalMotive := mvars.get! (info.nArgs - info.iMotive - 1)
|
||||
let goalMajor := mvars.get! (info.nArgs - info.iMajor - 1)
|
||||
Meta.mkEq (.app goalMotive goalMajor) resultant
|
||||
let motiveCall := Expr.instantiateRev info.body mvars
|
||||
Meta.mkEq motiveCall resultant
|
||||
|
||||
end RecursorWithMotive
|
||||
|
||||
def getRecursorInformation (recursorType: Expr): Option RecursorWithMotive := do
|
||||
let (args, body) := getForallArgsBody recursorType
|
||||
let (iMotive, iMajor) ← match body with
|
||||
| .app (.bvar iMotive) (.bvar iMajor) => pure (iMotive, iMajor)
|
||||
if ¬ body.isApp then
|
||||
.none
|
||||
let iMotive ← match body.getAppFn with
|
||||
| .bvar iMotive => pure iMotive
|
||||
| _ => .none
|
||||
return {
|
||||
args,
|
||||
body,
|
||||
iMotive,
|
||||
iMajor,
|
||||
}
|
||||
|
||||
def collectMotiveArguments (forallBody: Expr): SSet Nat :=
|
||||
|
@ -86,8 +85,6 @@ def motivatedApply: Elab.Tactic.Tactic := λ stx => do
|
|||
let argGoal ← if bvarIndex = info.iMotive then
|
||||
let surrogateMotiveType ← info.surrogateMotiveType resultant
|
||||
Meta.mkFreshExprMVar surrogateMotiveType .syntheticOpaque (userName := `motive)
|
||||
else if bvarIndex = info.iMajor then
|
||||
Meta.mkFreshExprMVar argType .syntheticOpaque (userName := `major)
|
||||
else
|
||||
Meta.mkFreshExprMVar argType .syntheticOpaque (userName := .anonymous)
|
||||
let prev := prev ++ [argGoal]
|
||||
|
|
|
@ -662,9 +662,9 @@ def test_nat_zero_add: TestM Unit := do
|
|||
addTest $ LSpec.check s!"mapply {recursor}" ((← state2.serializeGoals (options := ← read)).map (·.devolatilizeVars) =
|
||||
#[
|
||||
buildNamedGoal "_uniq.67" [("n", "Nat")] "Nat → Prop" (.some "motive"),
|
||||
buildNamedGoal "_uniq.68" [("n", "Nat")] "Nat" (.some "major"),
|
||||
buildNamedGoal "_uniq.68" [("n", "Nat")] "Nat",
|
||||
buildNamedGoal "_uniq.69" [("n", "Nat")] "∀ (t : Nat), Nat.below t → ?motive t",
|
||||
buildNamedGoal "_uniq.70" [("n", "Nat")] "?motive ?major = (n + 0 = n)" (.some "phantom")
|
||||
buildNamedGoal "_uniq.70" [("n", "Nat")] "?motive ?m.68 = (n + 0 = n)" (.some "phantom")
|
||||
])
|
||||
|
||||
let tactic := "exact n"
|
||||
|
|
|
@ -31,7 +31,6 @@ def test_type_extract (env: Environment): IO LSpec.TestSeq :=
|
|||
| .some info => pure info
|
||||
| .none => throwError "Failed to extract recursor info"
|
||||
tests := tests ++ LSpec.check "iMotive" (info.iMotive = 2)
|
||||
tests := tests ++ LSpec.check "iMajor" (info.iMajor = 1)
|
||||
let motiveType := info.getMotiveType
|
||||
tests := tests ++ LSpec.check "motiveType" ("Nat → Sort ?u.1" =
|
||||
(← exprToStr motiveType))
|
||||
|
@ -60,7 +59,7 @@ def test_execute (env: Environment): IO LSpec.TestSeq :=
|
|||
"Nat → Prop",
|
||||
"Nat",
|
||||
"∀ (t : Nat), Nat.below t → ?motive t",
|
||||
"?motive ?major = (n + 0 = n)",
|
||||
"?motive ?m.69 = (n + 0 = n)",
|
||||
])
|
||||
tests := tests ++ test
|
||||
return tests
|
||||
|
|
Loading…
Reference in New Issue