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feat: Int.toNat simproc #3440

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Feb 21, 2024
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feat: Int.toNat simproc #3440

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13 changes: 8 additions & 5 deletions src/Lean/Meta/Tactic/Simp/BuiltinSimprocs/Int.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -91,11 +91,6 @@ builtin_simproc [simp, seval] reducePow ((_ : Int) ^ (_ : Nat)) := fun e => do
let some v₂ ← Nat.fromExpr? e.appArg! | return .continue
return .done { expr := toExpr (v₁ ^ v₂) }

builtin_simproc [simp, seval] reduceAbs (natAbs _) := fun e => do
unless e.isAppOfArity ``natAbs 1 do return .continue
let some v ← fromExpr? e.appArg! | return .continue
return .done { expr := mkNatLit (natAbs v) }

builtin_simproc [simp, seval] reduceLT (( _ : Int) < _) := reduceBinPred ``LT.lt 4 (. < .)
builtin_simproc [simp, seval] reduceLE (( _ : Int) ≤ _) := reduceBinPred ``LE.le 4 (. ≤ .)
builtin_simproc [simp, seval] reduceGT (( _ : Int) > _) := reduceBinPred ``GT.gt 4 (. > .)
Expand All @@ -105,4 +100,12 @@ builtin_simproc [simp, seval] reduceNe (( _ : Int) ≠ _) := reduceBinPred ``N
builtin_simproc [simp, seval] reduceBEq (( _ : Int) == _) := reduceBoolPred ``BEq.beq 4 (. == .)
builtin_simproc [simp, seval] reduceBNe (( _ : Int) != _) := reduceBoolPred ``bne 4 (. != .)

@[inline] def reduceNatCore (declName : Name) (op : Int → Nat) (e : Expr) : SimpM Step := do
unless e.isAppOfArity declName 1 do return .continue
let some v ← fromExpr? e.appArg! | return .continue
return .done { expr := mkNatLit (op v) }

builtin_simproc [simp, seval] reduceAbs (natAbs _) := reduceNatCore ``natAbs natAbs
builtin_simproc [simp, seval] reduceToNat (Int.toNat _) := reduceNatCore ``Int.toNat Int.toNat

end Int
10 changes: 10 additions & 0 deletions tests/lean/run/simproc2.lean
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Expand Up @@ -10,3 +10,13 @@ example : foo x = 8 + 2 := by
fail_if_success simp [-Nat.reduceAdd]
simp only [Nat.reduceAdd]
rw [foo]

example (h : 0 = x) : (-2).toNat = x := by
simp
guard_target =ₛ 0 = x
assumption

example (h : 1 = x) : (1 : Int).toNat = x := by
simp
guard_target =ₛ 1 = x
assumption
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