diff --git a/src/daglib/set.py b/src/daglib/set.py
index f7d44d6..79fef90 100644
--- a/src/daglib/set.py
+++ b/src/daglib/set.py
@@ -1,11 +1,7 @@
 from __future__ import annotations
 
-from collections.abc import Iterable, Iterator, MutableSet, Set
-from typing import TYPE_CHECKING, TypeVar
-
-if TYPE_CHECKING:
-    from .dag import DAG
-
+from collections.abc import Iterable, Iterator, MutableSet
+from typing import TypeVar
 
 T = TypeVar("T")
 
@@ -22,88 +18,46 @@ class DAGSet(MutableSet[T]):
     Also supports += as an alias for update for ergonomic batching.
     """
 
-    __slots__ = ("_g", "_u")
-
-    def __init__(self, g: DAG[T], u: T) -> None:
-        self._g = g
-        self._u = u
-
-    def _raw(self) -> Set[T]:
-        return self._g._succ[self._u]
-
     # --- required MutableSet methods ---
 
     def __contains__(self, x: object) -> bool:
-        return x in self._raw()
-
+        return super().__contains__(x)
+    
     def __iter__(self) -> Iterator[T]:
-        return iter(self._raw())
+        return super().__iter__()
 
     def __len__(self) -> int:
-        return len(self._raw())
+        return super().__len__()
 
     def add(self, v: T) -> None:
-        self._g.add_edge(self._u, v)
+        super().add(v)
 
     def discard(self, v: T) -> None:
-        self._g.remove_edge(self._u, v, missing_ok=True)
-
-    # --- convenience / correctness helpers ---
-
-    def remove(self, v: T) -> None:
-        self._g.remove_edge(self._u, v, missing_ok=False)
-
-    def clear(self) -> None:
-        for v in list(self._raw()):
-            self._g.remove_edge(self._u, v, missing_ok=True)
-
-    def update(self, it: Iterable[T]) -> None:
-        for v in it:
-            self._g.add_edge(self._u, v)
+        super().discard(v)
 
     # --- in-place operator support ---
 
     def __ior__(self, other: Iterable[T]) -> DAGSet[T]:
         # a |= b  => add everything in other
-        self.update(other)
         return self
 
-    def __iand__(self, other: Iterable[T]) -> DAGSet[T]:
-        # a &= b => keep only those also in other
-        other_set = set(other)
-        for v in list(self._raw()):
-            if v not in other_set:
-                self._g.remove_edge(self._u, v, missing_ok=True)
+    def __iadd__(self, other: Iterable[T]) -> DAGSet[T]:
+        # a += b => update/extend
         return self
 
     def __isub__(self, other: Iterable[T]) -> DAGSet[T]:
         # a -= b => remove those in other
-        for v in other:
-            self._g.remove_edge(self._u, v, missing_ok=True)
+        return self
+
+    def __iand__(self, other: Iterable[T]) -> DAGSet[T]:
+        # a &= b => keep only those also in other
         return self
 
     def __ixor__(self, other: Iterable[T]) -> DAGSet[T]:
         # a ^= b => symmetric difference update
-        other_set = set(other)
-        raw = self._raw()
-        to_remove = raw & other_set
-        to_add = other_set - raw
-
-        for v in to_remove:
-            self._g.remove_edge(self._u, v, missing_ok=True)
-        for v in to_add:
-            self._g.add_edge(self._u, v)
-        return self
-
-    def __iadd__(self, other: Iterable[T]) -> DAGSet[T]:
-        """
-        Built-in set doesn't define +=, but many folks expect it.
-        Treat it as 'update' (extend).
-        """
-        self.update(other)
         return self
 
     # --- nice repr for debugging ---
 
     def __repr__(self) -> str:
-        return repr(self._raw())
+        return super().__repr__()