diff --git a/libs/langgraph/langgraph/stream/__init__.py b/libs/langgraph/langgraph/stream/__init__.py
index d882191b5..bb800b7c4 100644
--- a/libs/langgraph/langgraph/stream/__init__.py
+++ b/libs/langgraph/langgraph/stream/__init__.py
@@ -2,7 +2,7 @@
 
 from langgraph.stream._convert import STREAM_V2_MODES, convert_to_protocol_event
 from langgraph.stream._event_log import EventLog
-from langgraph.stream._mux import StreamMux
+from langgraph.stream._mux import AsyncStreamMux, StreamMux
 from langgraph.stream._types import (
     InterruptPayload,
     ProtocolEvent,
@@ -13,6 +13,7 @@ from langgraph.stream.run_stream import (
     AsyncGraphRunStream,
     AsyncSubgraphRunStream,
     GraphRunStream,
+    SubgraphRunStream,
     create_async_graph_run_stream,
     create_graph_run_stream,
 )
@@ -25,6 +26,7 @@ from langgraph.stream.transformers import (
 
 __all__ = [
     "STREAM_V2_MODES",
+    "AsyncStreamMux",
     "AsyncChatModelStream",
     "AsyncGraphRunStream",
     "AsyncSubgraphRunStream",
@@ -36,6 +38,7 @@ __all__ = [
     "ProtocolEvent",
     "StreamChannel",
     "StreamMux",
+    "SubgraphRunStream",
     "StreamTransformer",
     "StreamingHandler",
     "ValuesTransformer",
diff --git a/libs/langgraph/langgraph/stream/_event_log.py b/libs/langgraph/langgraph/stream/_event_log.py
index 660a05531..c4faebaf6 100644
--- a/libs/langgraph/langgraph/stream/_event_log.py
+++ b/libs/langgraph/langgraph/stream/_event_log.py
@@ -15,6 +15,17 @@ from typing import Generic, TypeVar
 T = TypeVar("T")
 
 
+def _resolve_future(fut: asyncio.Future[None]) -> None:
+    """Set a future's result if it hasn't already completed or been cancelled.
+
+    Runs on the event loop thread (scheduled via ``call_soon_threadsafe``)
+    so that the ``done()`` check and ``set_result`` are atomic with
+    respect to cancellation.
+    """
+    if not fut.done():
+        fut.set_result(None)
+
+
 class EventLog(Generic[T]):
     """Append-only event buffer with cursor-based async iteration.
 
@@ -56,14 +67,9 @@ class EventLog(Generic[T]):
 
     # -- Consumer API -------------------------------------------------------
 
-    def subscribe(self, offset: int = 0) -> _Cursor[T]:
-        """Create a new cursor starting at *offset*.
-
-        If *offset* is 0 the cursor replays the entire log.  If
-        *offset* equals ``len(self)`` the cursor starts from the
-        current tip and only sees future events.
-        """
-        return _Cursor(self, offset)
+    def __aiter__(self) -> _Cursor[T]:
+        """Return a fresh cursor from the beginning of the log."""
+        return _Cursor(self)
 
     # -- Inspection ---------------------------------------------------------
 
@@ -81,12 +87,11 @@ class EventLog(Generic[T]):
 
     def _wake_all(self) -> None:
         for fut in self._waiters:
-            if not fut.done():
-                try:
-                    fut.get_loop().call_soon_threadsafe(fut.set_result, None)
-                except RuntimeError:
-                    # Loop already closed — ignore.
-                    pass
+            try:
+                fut.get_loop().call_soon_threadsafe(_resolve_future, fut)
+            except RuntimeError:
+                # Loop already closed — ignore.
+                pass
         self._waiters.clear()
 
 
@@ -95,9 +100,9 @@ class _Cursor(Generic[T]):
 
     __slots__ = ("_log", "_offset")
 
-    def __init__(self, log: EventLog[T], offset: int) -> None:
+    def __init__(self, log: EventLog[T]) -> None:
         self._log = log
-        self._offset = offset
+        self._offset = 0
 
     def __aiter__(self) -> _Cursor[T]:
         return self
@@ -114,18 +119,17 @@ class _Cursor(Generic[T]):
                 if self._log._closed:
                     raise StopAsyncIteration
                 # Nothing available yet — register a waiter
-                loop = asyncio.get_running_loop()
-                fut: asyncio.Future[None] = loop.create_future()
+                fut: asyncio.Future[None] = asyncio.get_running_loop().create_future()
                 self._log._waiters.append(fut)
             # Wait outside the lock
             try:
                 await fut
             except asyncio.CancelledError:
-                # Remove our future so it doesn't accumulate in the list.
-                try:
-                    self._log._waiters.remove(fut)
-                except ValueError:
-                    pass  # Already removed by _wake_all
+                with self._log._lock:
+                    try:
+                        self._log._waiters.remove(fut)
+                    except ValueError:
+                        pass  # Already removed by _wake_all
                 raise
 
 
diff --git a/libs/langgraph/langgraph/stream/_mux.py b/libs/langgraph/langgraph/stream/_mux.py
index 83082d143..7b02b5bb2 100644
--- a/libs/langgraph/langgraph/stream/_mux.py
+++ b/libs/langgraph/langgraph/stream/_mux.py
@@ -1,9 +1,12 @@
 """Central event dispatcher with transformer pipeline for StreamingHandler.
 
-``StreamMux`` is the core coordination point: it holds the main
+``StreamMux`` is the sync-safe core: it holds the main
 :class:`EventLog`, tracks discovered namespaces for subgraph stream
 creation, and pipes every event through the registered
 :class:`StreamTransformer` pipeline before appending it to the log.
+
+``AsyncStreamMux`` extends the base with async subscription endpoints
+(output futures, namespace waiters, filtered event iteration).
 """
 
 from __future__ import annotations
@@ -19,11 +22,13 @@ from langgraph.stream.stream_channel import StreamChannel, is_stream_channel
 
 
 class StreamMux:
-    """Central event dispatcher for the StreamingHandler infrastructure.
+    """Sync-safe event dispatcher for the StreamingHandler infrastructure.
 
     The mux owns the main event log, applies the transformer pipeline to
-    every incoming event, and provides subscription endpoints for
-    filtered event iteration and subgraph discovery.
+    every incoming event, and tracks namespace discovery and latest values.
+
+    For async subscription endpoints (output futures, namespace waiters,
+    filtered event iteration), use :class:`AsyncStreamMux`.
     """
 
     def __init__(self, transformers: list[StreamTransformer] | None = None) -> None:
@@ -35,8 +40,6 @@ class StreamMux:
 
         # Namespace discovery: maps top-level ns segment → True
         self._discovered_ns: dict[str, bool] = {}
-        # Waiters for new namespace discovery
-        self._ns_waiters: list[asyncio.Future[None]] = []
 
         # Latest values per namespace (list-of-strings key)
         self._latest_values: dict[str, Any] = {}
@@ -45,9 +48,6 @@ class StreamMux:
         self._interrupts: list[InterruptPayload] = []
         self._interrupted = False
 
-        # Output promise tracking
-        self._output_futures: dict[str, asyncio.Future[Any]] = {}
-
         # Closed state
         self._closed = False
         self._error: BaseException | None = None
@@ -76,7 +76,7 @@ class StreamMux:
             top_segment = ns[0]
             if top_segment not in self._discovered_ns:
                 self._discovered_ns[top_segment] = True
-                self._wake_ns_waiters()
+                self._on_ns_discovered(top_segment)
 
         # Track values
         if event["method"] == "values":
@@ -113,7 +113,7 @@ class StreamMux:
             self._event_log.append(event)
 
     def close(self, output: Any = None) -> None:
-        """Close the mux, resolving all output futures."""
+        """Close the mux, finalizing transformers and the event log."""
         if self._closed:
             return
         self._closed = True
@@ -130,20 +130,8 @@ class StreamMux:
         # Close the event log
         self._event_log.close()
 
-        # Resolve output futures
-        for ns_key, fut in self._output_futures.items():
-            if not fut.done():
-                value = self._latest_values.get(ns_key)
-                try:
-                    fut.get_loop().call_soon_threadsafe(fut.set_result, value)
-                except RuntimeError:
-                    pass
-
-        # Wake namespace waiters
-        self._wake_ns_waiters()
-
     def fail(self, error: BaseException) -> None:
-        """Fail the mux, rejecting all output futures."""
+        """Fail the mux, propagating the error to transformers and channels."""
         if self._closed:
             return
         self._closed = True
@@ -161,83 +149,6 @@ class StreamMux:
         # Fail the event log
         self._event_log.fail(error)
 
-        # Reject output futures
-        for fut in self._output_futures.values():
-            if not fut.done():
-                try:
-                    fut.get_loop().call_soon_threadsafe(fut.set_exception, error)
-                except RuntimeError:
-                    pass
-
-        # Wake namespace waiters
-        self._wake_ns_waiters()
-
-    # -- Consumer API -------------------------------------------------------
-
-    def subscribe_events(
-        self, path: list[str] | None = None, offset: int = 0
-    ) -> AsyncIterator[ProtocolEvent]:
-        """Return an async iterator over events matching *path*.
-
-        If *path* is ``None`` or empty, all events are yielded.
-        Otherwise, only events whose namespace starts with *path*
-        are yielded.
-        """
-        cursor = self._event_log.subscribe(offset)
-        if not path:
-            return cursor
-        return _FilteredEventIterator(cursor, path)
-
-    async def subscribe_subgraphs(
-        self, path: list[str] | None = None, offset: int = 0
-    ) -> AsyncIterator[str]:
-        """Yield top-level namespace segments as they are discovered.
-
-        Each yielded value is the first namespace segment of a newly
-        discovered subgraph (e.g. ``"agent:0"``).
-        """
-        yielded: set[str] = set()
-        while True:
-            # Yield any newly discovered namespaces
-            for ns_segment in list(self._discovered_ns):
-                if ns_segment not in yielded:
-                    # Filter by path prefix if specified
-                    if path:
-                        if not ns_segment.startswith(path[0]):
-                            continue
-                    yielded.add(ns_segment)
-                    yield ns_segment
-
-            if self._closed:
-                return
-
-            # Wait for new namespaces
-            loop = asyncio.get_running_loop()
-            fut: asyncio.Future[None] = loop.create_future()
-            self._ns_waiters.append(fut)
-            await fut
-
-    def get_output_future(self, ns: list[str] | None = None) -> asyncio.Future[Any]:
-        """Get or create an output future for a namespace.
-
-        The future resolves to the latest ``values`` event data when
-        the mux is closed.
-        """
-        ns_key = _ns_key(ns or [])
-        if ns_key not in self._output_futures:
-            loop = asyncio.get_running_loop()
-            self._output_futures[ns_key] = loop.create_future()
-
-            # If already closed, resolve immediately
-            if self._closed:
-                value = self._latest_values.get(ns_key)
-                if self._error is not None:
-                    self._output_futures[ns_key].set_exception(self._error)
-                else:
-                    self._output_futures[ns_key].set_result(value)
-
-        return self._output_futures[ns_key]
-
     # -- Inspection ---------------------------------------------------------
 
     @property
@@ -258,6 +169,13 @@ class StreamMux:
 
     # -- Internal -----------------------------------------------------------
 
+    def _on_ns_discovered(self, segment: str) -> None:
+        """Hook called when a new top-level namespace segment is discovered.
+
+        The base implementation is a no-op.  :class:`AsyncStreamMux`
+        overrides this to wake namespace waiters.
+        """
+
     def register_transformer(self, transformer: StreamTransformer) -> None:
         """Register a new transformer and replay all buffered events through it.
 
@@ -333,6 +251,135 @@ class StreamMux:
 
                 channel._wire(_make_forwarder(channel))
 
+
+class AsyncStreamMux(StreamMux):
+    """Async extension of :class:`StreamMux`.
+
+    Adds output futures, namespace waiters, and async subscription
+    endpoints (``subscribe_events``, ``subscribe_subgraphs``,
+    ``get_output_future``).
+    """
+
+    def __init__(self, transformers: list[StreamTransformer] | None = None) -> None:
+        super().__init__(transformers)
+        # Waiters for new namespace discovery
+        self._ns_waiters: list[asyncio.Future[None]] = []
+        # Output promise tracking
+        self._output_futures: dict[str, asyncio.Future[Any]] = {}
+
+    # -- Producer API overrides ---------------------------------------------
+
+    def close(self, output: Any = None) -> None:
+        """Close the mux, resolving all output futures."""
+        if self._closed:
+            return
+
+        # Let the base class finalize transformers, channels, and event log
+        super().close(output)
+
+        # Resolve output futures
+        for ns_key, fut in self._output_futures.items():
+            if not fut.done():
+                value = self._latest_values.get(ns_key)
+                try:
+                    fut.get_loop().call_soon_threadsafe(fut.set_result, value)
+                except RuntimeError:
+                    pass
+
+        # Wake namespace waiters
+        self._wake_ns_waiters()
+
+    def fail(self, error: BaseException) -> None:
+        """Fail the mux, rejecting all output futures."""
+        if self._closed:
+            return
+
+        # Let the base class fail transformers, channels, and event log
+        super().fail(error)
+
+        # Reject output futures
+        for fut in self._output_futures.values():
+            if not fut.done():
+                try:
+                    fut.get_loop().call_soon_threadsafe(fut.set_exception, error)
+                except RuntimeError:
+                    pass
+
+        # Wake namespace waiters
+        self._wake_ns_waiters()
+
+    # -- Consumer API -------------------------------------------------------
+
+    def subscribe_events(
+        self, path: list[str] | None = None
+    ) -> AsyncIterator[ProtocolEvent]:
+        """Return an async iterator over events matching *path*.
+
+        If *path* is ``None`` or empty, all events are yielded.
+        Otherwise, only events whose namespace starts with *path*
+        are yielded.
+        """
+        cursor = aiter(self._event_log)
+        if not path:
+            return cursor
+        return _FilteredEventIterator(cursor, path)
+
+    async def subscribe_subgraphs(
+        self, path: list[str] | None = None, offset: int = 0
+    ) -> AsyncIterator[str]:
+        """Yield top-level namespace segments as they are discovered.
+
+        Each yielded value is the first namespace segment of a newly
+        discovered subgraph (e.g. ``"agent:0"``).
+        """
+        yielded: set[str] = set()
+        while True:
+            # Yield any newly discovered namespaces
+            for ns_segment in list(self._discovered_ns):
+                if ns_segment not in yielded:
+                    # Filter by path prefix if specified
+                    if path:
+                        if not ns_segment.startswith(path[0]):
+                            continue
+                    yielded.add(ns_segment)
+                    yield ns_segment
+
+            if self._closed:
+                return
+
+            # Wait for new namespaces
+            loop = asyncio.get_running_loop()
+            fut: asyncio.Future[None] = loop.create_future()
+            self._ns_waiters.append(fut)
+            await fut
+
+    def get_output_future(self, ns: list[str] | None = None) -> asyncio.Future[Any]:
+        """Get or create an output future for a namespace.
+
+        The future resolves to the latest ``values`` event data when
+        the mux is closed.
+        """
+        ns_key = _ns_key(ns or [])
+        if ns_key not in self._output_futures:
+            loop = asyncio.get_running_loop()
+            self._output_futures[ns_key] = loop.create_future()
+
+            # If already closed, resolve immediately
+            if self._closed:
+                value = self._latest_values.get(ns_key)
+                if self._error is not None:
+                    self._output_futures[ns_key].set_exception(self._error)
+                else:
+                    self._output_futures[ns_key].set_result(value)
+
+        return self._output_futures[ns_key]
+
+    # -- Internal -----------------------------------------------------------
+
+    def _on_ns_discovered(self, segment: str) -> None:
+        """Wake namespace waiters when a new namespace is discovered."""
+        self._wake_ns_waiters()
+
     def _wake_ns_waiters(self) -> None:
         for fut in self._ns_waiters:
             if not fut.done():
@@ -375,4 +422,4 @@ def _ns_starts_with(ns: list[str], prefix: list[str]) -> bool:
     return ns[: len(prefix)] == prefix
 
 
-__all__ = ["StreamMux"]
+__all__ = ["AsyncStreamMux", "StreamMux"]
diff --git a/libs/langgraph/langgraph/stream/chat_model_stream.py b/libs/langgraph/langgraph/stream/chat_model_stream.py
index 1905696bc..2b6bc6ecc 100644
--- a/libs/langgraph/langgraph/stream/chat_model_stream.py
+++ b/libs/langgraph/langgraph/stream/chat_model_stream.py
@@ -13,11 +13,69 @@ or ``full = await msg.text``).
 from __future__ import annotations
 
 import asyncio
-from collections.abc import Generator
+from collections.abc import Callable, Generator, Iterator
 from typing import Any
 
 from langgraph.stream._types import UsageInfo
 
+
+# ---------------------------------------------------------------------------
+# Sync dual projection — iterable of deltas, str() for accumulated text
+# ---------------------------------------------------------------------------
+
+
+class _SyncDualProjection:
+    """Pump-driven sync iterable of string deltas.
+
+    Iterating yields incremental text fragments as the pump delivers
+    new ``content-block-delta`` events.  Calling ``str()`` drains the
+    pump and returns the full accumulated string.
+
+    This is the sync counterpart of :class:`_DualProjection` (the async
+    variant used by ``AsyncChatModelStream``).
+    """
+
+    __slots__ = ("_stream", "_attr", "_pump_one")
+
+    def __init__(
+        self,
+        stream: ChatModelStream,
+        attr: str,
+        pump_one: Callable[[], bool],
+    ) -> None:
+        self._stream = stream
+        self._attr = attr
+        self._pump_one = pump_one
+
+    def __iter__(self) -> Iterator[str]:
+        prev_len = 0
+        while True:
+            cur = getattr(self._stream, self._attr)
+            if len(cur) > prev_len:
+                yield cur[prev_len:]
+                prev_len = len(cur)
+            if self._stream._done:
+                return
+            if not self._pump_one():
+                # Source exhausted — yield any remaining
+                cur = getattr(self._stream, self._attr)
+                if len(cur) > prev_len:
+                    yield cur[prev_len:]
+                return
+
+    def __str__(self) -> str:
+        while not self._stream._done:
+            if not self._pump_one():
+                break
+        return getattr(self._stream, self._attr)
+
+    def __repr__(self) -> str:
+        return repr(getattr(self._stream, self._attr))
+
+    def __bool__(self) -> bool:
+        return bool(getattr(self._stream, self._attr))
+
+
 # ---------------------------------------------------------------------------
 # Sync variant
 # ---------------------------------------------------------------------------
@@ -56,21 +114,52 @@ class ChatModelStream:
         self._usage_value: UsageInfo | None = None
         self._done = False
 
+        # Optional pump for sync streaming (set via _bind_pump)
+        self._pump_one: Callable[[], bool] | None = None
+
+    # -- Pump binding (called by GraphRunStream) ---------------------------
+
+    def _bind_pump(self, pump_one: Callable[[], bool]) -> None:
+        """Bind a pump function for sync token-by-token streaming.
+
+        When bound, ``.text`` and ``.reasoning`` return
+        :class:`_SyncDualProjection` instances that drive the pump and
+        yield deltas as the LLM produces tokens.
+        """
+        self._pump_one = pump_one
+
     # -- Public projections ------------------------------------------------
 
     @property
-    def text(self) -> str:
-        """Accumulated text content."""
+    def text(self) -> str | _SyncDualProjection:
+        """Text content.
+
+        When a pump is bound (sync streaming), returns a
+        :class:`_SyncDualProjection` — iterable of deltas,
+        ``str()`` for the full accumulated text.  Otherwise returns
+        the accumulated text string directly.
+        """
+        if self._pump_one is not None and not self._done:
+            return _SyncDualProjection(self, "_text_acc", self._pump_one)
         return self._text_acc
 
     @property
-    def reasoning(self) -> str:
-        """Accumulated reasoning content."""
+    def reasoning(self) -> str | _SyncDualProjection:
+        """Reasoning content.
+
+        Same dual behavior as :attr:`text`.
+        """
+        if self._pump_one is not None and not self._done:
+            return _SyncDualProjection(self, "_reasoning_acc", self._pump_one)
         return self._reasoning_acc
 
     @property
     def usage(self) -> UsageInfo | None:
         """Usage info, available after the message finishes."""
+        if self._pump_one is not None and not self._done:
+            while not self._done:
+                if not self._pump_one():
+                    break
         return self._usage_value
 
     @property
@@ -310,4 +399,4 @@ class AsyncChatModelStream(ChatModelStream):
         self._usage_proj._fail(error)
 
 
-__all__ = ["AsyncChatModelStream", "ChatModelStream"]
+__all__ = ["AsyncChatModelStream", "ChatModelStream", "_SyncDualProjection"]
diff --git a/libs/langgraph/langgraph/stream/run_stream.py b/libs/langgraph/langgraph/stream/run_stream.py
index 8044f1238..9cbb0d3db 100644
--- a/libs/langgraph/langgraph/stream/run_stream.py
+++ b/libs/langgraph/langgraph/stream/run_stream.py
@@ -15,7 +15,7 @@ from typing import Any
 
 from langgraph.stream._convert import convert_to_protocol_event
 from langgraph.stream._event_log import EventLog
-from langgraph.stream._mux import StreamMux
+from langgraph.stream._mux import AsyncStreamMux, StreamMux
 from langgraph.stream._types import InterruptPayload, ProtocolEvent, StreamTransformer
 from langgraph.stream.chat_model_stream import AsyncChatModelStream, ChatModelStream
 from langgraph.stream.transformers import MessagesTransformer, ValuesTransformer
@@ -30,7 +30,7 @@ class _ValuesProjection:
 
     def __init__(
         self,
-        mux: StreamMux,
+        mux: AsyncStreamMux,
         values_transformer: ValuesTransformer,
         ns: list[str],
         mapper: Callable[[Any], Any] | None = None,
@@ -62,7 +62,7 @@ class _ValuesIterator:
         ns: list[str],
         mapper: Callable[[Any], Any] | None = None,
     ) -> None:
-        self._cursor = transformer.values_log.subscribe(0)
+        self._cursor = aiter(transformer.values_log)
         self._ns = ns
         self._mapper = mapper
 
@@ -92,7 +92,7 @@ class _MessagesProjection:
         self._transformer = messages_transformer
 
     def __aiter__(self) -> AsyncIterator[AsyncChatModelStream]:
-        return self._transformer.messages_log.subscribe(0)
+        return aiter(self._transformer.messages_log)
 
 
 # ---------------------------------------------------------------------------
@@ -103,7 +103,7 @@ class _MessagesProjection:
 class _SubgraphsProjection:
     """Async iterable yielding :class:`AsyncSubgraphRunStream` for each discovered subgraph."""
 
-    def __init__(self, mux: StreamMux, ns: list[str]) -> None:
+    def __init__(self, mux: AsyncStreamMux, ns: list[str]) -> None:
         self._mux = mux
         self._ns = ns
 
@@ -143,7 +143,7 @@ class AsyncGraphRunStream:
     def __init__(
         self,
         *,
-        mux: StreamMux,
+        mux: AsyncStreamMux,
         namespace: list[str] | None = None,
         transformers: list[StreamTransformer],
         abort_event: asyncio.Event | None = None,
@@ -308,7 +308,7 @@ async def create_async_graph_run_stream(
         if projection is not None:
             projections.append(projection)
 
-    mux = StreamMux(transformers=all_transformers)
+    mux = AsyncStreamMux(transformers=all_transformers)
 
     # Wire any StreamChannel instances found in transformer projections
     for projection in projections:
@@ -492,20 +492,91 @@ class GraphRunStream:
     def messages(self) -> Iterator[ChatModelStream]:
         """Sync iterable of :class:`ChatModelStream` instances.
 
-        Each yielded ``ChatModelStream`` is fully populated (``done=True``)
-        so that sync consumers can read ``.text``, ``.reasoning``, and
-        ``.usage`` immediately.
+        Each ``ChatModelStream`` is yielded as soon as the LLM begins
+        responding (on ``message-start``).  Its ``.text`` and
+        ``.reasoning`` properties are pump-driven
+        :class:`~langgraph.stream.chat_model_stream._SyncDualProjection`
+        instances that yield deltas as tokens arrive::
+
+            for msg in run.messages:
+                for delta in msg.text:
+                    print(delta, end="", flush=True)
+
+        If you don't need streaming, ``str(msg.text)`` pumps until
+        the message completes and returns the full text.
+
+        After each message is consumed, the pump advances through
+        non-message events (tool completions, values, etc.) so that
+        other transformer state is up-to-date before the next message
+        is yielded.  This means you can check
+        ``run.extensions["tools"]`` between messages and see inline
+        results.
         """
         t = self._find_transformer("messages")
         if t is None:
             return
-        for msg in _PumpDrivenLog(t.value, self._pump_one):
-            # Pump until this message is complete so sync consumers
-            # get a fully populated ChatModelStream.
-            while not msg.done:
+        log = t.value
+        for msg in _PumpDrivenLog(log, self._pump_one):
+            msg._bind_pump(self._pump_one)
+            yield msg
+            # Advance the pump past non-message events so other
+            # transformers have up-to-date state before the next
+            # message is yielded.
+            prev_count = len(log)
+            while len(log) == prev_count:
                 if not self._pump_one():
                     break
-            yield msg
+
+    # -- Subgraphs ----------------------------------------------------------
+
+    @property
+    def subgraphs(self) -> Iterator[SubgraphRunStream]:
+        """Sync iterable of :class:`SubgraphRunStream` for child graphs.
+
+        Namespaces are discovered lazily as events are pumped from the
+        source.  Each yielded stream has its own ``values``, ``messages``,
+        and ``output`` projections scoped to the child namespace.
+
+        After yielding a subgraph, the caller may consume its projections
+        (e.g. ``sub.values``), which pumps more events and can discover
+        new namespaces.  The loop re-checks for newly discovered
+        namespaces after each yield before attempting another pump.
+        """
+        yielded: set[str] = set()
+
+        while True:
+            # Yield any newly discovered namespaces.  Re-check after
+            # each yield because consuming a subgraph's projections
+            # can pump events that discover further namespaces.
+            found_new = False
+            for ns_segment in list(self._mux._discovered_ns):
+                if ns_segment in yielded:
+                    continue
+                found_new = True
+                yielded.add(ns_segment)
+                child_ns = self._ns + [ns_segment]
+                child_transformers: list[StreamTransformer] = [
+                    ValuesTransformer(),
+                    MessagesTransformer(namespace=child_ns),
+                ]
+                for t in child_transformers:
+                    t.init()
+                    self._mux.register_transformer(t)
+
+                yield SubgraphRunStream(
+                    mux=self._mux,
+                    namespace=child_ns,
+                    transformers=child_transformers,
+                    pump_one=self._pump_one,
+                    output_mapper=self._output_mapper,
+                )
+
+            if found_new:
+                continue  # re-check before pumping
+
+            # No new namespaces — pump one event
+            if not self._pump_one():
+                break
 
     # -- State --------------------------------------------------------------
 
@@ -534,6 +605,133 @@ class GraphRunStream:
         return result
 
 
+# ---------------------------------------------------------------------------
+# SubgraphRunStream — sync child stream
+# ---------------------------------------------------------------------------
+
+
+class SubgraphRunStream:
+    """Synchronous run stream for a child subgraph.
+
+    Shares the parent's :class:`StreamMux` and pump function.  Has its
+    own transformer set registered on the shared mux so that projections
+    (``values``, ``messages``, ``output``) are scoped to the child
+    namespace.
+
+    Adds ``.name`` and ``.index`` parsed from the last namespace segment
+    (e.g. ``"researcher:2"`` → ``name="researcher"``, ``index=2``).
+    """
+
+    def __init__(
+        self,
+        *,
+        mux: StreamMux,
+        namespace: list[str],
+        transformers: list[StreamTransformer],
+        pump_one: Callable[[], bool],
+        output_mapper: Callable[[Any], Any] | None = None,
+    ) -> None:
+        self._mux = mux
+        self._ns = namespace
+        self._transformers = transformers
+        self._pump_one = pump_one
+        self._output_mapper = output_mapper
+
+    # -- Identity -----------------------------------------------------------
+
+    @property
+    def name(self) -> str:
+        if self._ns:
+            segment = self._ns[-1]
+            return segment.split(":")[0] if ":" in segment else segment
+        return ""
+
+    @property
+    def index(self) -> int:
+        if self._ns:
+            segment = self._ns[-1]
+            if ":" in segment:
+                try:
+                    return int(segment.split(":")[-1])
+                except ValueError:
+                    pass
+        return 0
+
+    # -- Transformer lookup -------------------------------------------------
+
+    def _find_transformer(self, name: str) -> StreamTransformer | None:
+        for t in self._transformers:
+            if getattr(t, "name", None) == name:
+                return t
+        return None
+
+    # -- Helpers ------------------------------------------------------------
+
+    def _map(self, value: Any) -> Any:
+        if value is not None and self._output_mapper is not None:
+            return self._output_mapper(value)
+        return value
+
+    def _pump_all(self) -> None:
+        while self._pump_one():
+            pass
+
+    # -- Raw event iteration (sync) -----------------------------------------
+
+    def __iter__(self) -> Iterator[ProtocolEvent]:
+        for event in _PumpDrivenLog(self._mux.event_log, self._pump_one):
+            ns = event["params"].get("namespace", [])
+            if ns[: len(self._ns)] == self._ns:
+                yield event
+
+    # -- Named projections (sync) -------------------------------------------
+
+    @property
+    def output(self) -> Any:
+        """The final output state (blocking). Drains the source."""
+        self._pump_all()
+        return self._map(self._mux.get_latest_values(self._ns))
+
+    @property
+    def values(self) -> Iterator[Any]:
+        """Sync iterable of intermediate state snapshots."""
+        t = self._find_transformer("values")
+        if t is None:
+            return
+        for item in _PumpDrivenLog(t.value, self._pump_one):
+            if item.get("namespace", []) == self._ns:
+                yield self._map(item["data"])
+
+    @property
+    def messages(self) -> Iterator[ChatModelStream]:
+        """Sync iterable of :class:`ChatModelStream` instances.
+
+        Each ``ChatModelStream`` is yielded as soon as the LLM begins
+        responding.  See :attr:`GraphRunStream.messages` for usage.
+        """
+        t = self._find_transformer("messages")
+        if t is None:
+            return
+        log = t.value
+        for msg in _PumpDrivenLog(log, self._pump_one):
+            msg._bind_pump(self._pump_one)
+            yield msg
+            prev_count = len(log)
+            while len(log) == prev_count:
+                if not self._pump_one():
+                    break
+
+    # -- State --------------------------------------------------------------
+
+    @property
+    def interrupted(self) -> bool:
+        return self._mux.interrupted
+
+    @property
+    def interrupts(self) -> list[InterruptPayload]:
+        return self._mux.interrupts
+
+
 def create_graph_run_stream(
     source: Iterator[tuple[tuple[str, ...], str, Any]],
     *,
@@ -579,6 +777,7 @@ __all__ = [
     "AsyncGraphRunStream",
     "AsyncSubgraphRunStream",
     "GraphRunStream",
+    "SubgraphRunStream",
     "create_async_graph_run_stream",
     "create_graph_run_stream",
 ]
diff --git a/libs/langgraph/langgraph/stream/stream_channel.py b/libs/langgraph/langgraph/stream/stream_channel.py
index fade0c2a1..5e0e6b8ff 100644
--- a/libs/langgraph/langgraph/stream/stream_channel.py
+++ b/libs/langgraph/langgraph/stream/stream_channel.py
@@ -51,7 +51,7 @@ class StreamChannel(Generic[T]):
     # -- Async iteration (in-process consumption) ---------------------------
 
     def __aiter__(self) -> AsyncIterator[T]:
-        return self._log.subscribe(0)
+        return aiter(self._log)
 
     # -- Internal (called by the mux) ---------------------------------------
 
diff --git a/libs/langgraph/tests/test_stream_event_log.py b/libs/langgraph/tests/test_stream_event_log.py
index 7bec10156..90b8b5baa 100644
--- a/libs/langgraph/tests/test_stream_event_log.py
+++ b/libs/langgraph/tests/test_stream_event_log.py
@@ -12,7 +12,7 @@ async def test_push_and_iterate_in_order():
     log.append("b")
     log.append("c")
     log.close()
-    items = [item async for item in log.subscribe(0)]
+    items = [item async for item in aiter(log)]
     assert items == ["a", "b", "c"]
 
 
@@ -22,8 +22,8 @@ async def test_multiple_independent_cursors():
     log.append("x")
     log.append("y")
     log.close()
-    items1 = [item async for item in log.subscribe(0)]
-    items2 = [item async for item in log.subscribe(0)]
+    items1 = [item async for item in aiter(log)]
+    items2 = [item async for item in aiter(log)]
     assert items1 == ["x", "y"]
     assert items2 == ["x", "y"]
 
@@ -32,7 +32,7 @@ async def test_multiple_independent_cursors():
 async def test_close_ends_iteration():
     log = EventLog()
     log.close()
-    items = [item async for item in log.subscribe(0)]
+    items = [item async for item in aiter(log)]
     assert items == []
 
 
@@ -41,28 +41,17 @@ async def test_fail_raises_error():
     log = EventLog()
     log.fail(RuntimeError("boom"))
     with pytest.raises(RuntimeError, match="boom"):
-        async for _ in log.subscribe(0):
+        async for _ in aiter(log):
             pass
 
 
-@pytest.mark.anyio
-async def test_nonzero_offset():
-    log = EventLog()
-    log.append("x")
-    log.append("y")
-    log.append("z")
-    log.close()
-    items = [item async for item in log.subscribe(2)]
-    assert items == ["z"]
-
-
 @pytest.mark.anyio
 async def test_concurrent_push_and_iterate():
     log = EventLog()
     received = []
 
     async def consumer():
-        async for item in log.subscribe(0):
+        async for item in aiter(log):
             received.append(item)
 
     async def producer():
@@ -80,7 +69,7 @@ async def test_items_before_cursor_visible():
     log = EventLog()
     log.append("a")
     log.append("b")
-    cursor = log.subscribe(0)
+    cursor = aiter(log)
     log.append("c")
     log.close()
     items = [item async for item in cursor]
@@ -91,7 +80,7 @@ async def test_items_before_cursor_visible():
 async def test_empty_log_closed_yields_nothing():
     log = EventLog()
     log.close()
-    items = [item async for item in log.subscribe(0)]
+    items = [item async for item in aiter(log)]
     assert items == []
 
 
@@ -102,7 +91,7 @@ async def test_fail_mid_iteration():
     received = []
 
     async def consumer():
-        async for item in log.subscribe(0):
+        async for item in aiter(log):
             received.append(item)
 
     async def producer():
@@ -129,7 +118,7 @@ async def test_abandoned_cursor_cleans_up_waiters():
     log: EventLog[str] = EventLog()
 
     for _ in range(10):
-        cursor = log.subscribe(0)
+        cursor = aiter(log)
         task = asyncio.ensure_future(cursor.__anext__())
         await asyncio.sleep(0)  # let task register its waiter
         task.cancel()
diff --git a/libs/langgraph/tests/test_stream_mux.py b/libs/langgraph/tests/test_stream_mux.py
index d2160e5f1..8b76c9333 100644
--- a/libs/langgraph/tests/test_stream_mux.py
+++ b/libs/langgraph/tests/test_stream_mux.py
@@ -3,7 +3,7 @@ from typing import Any
 import pytest
 
 from langgraph.stream._convert import convert_to_protocol_event
-from langgraph.stream._mux import StreamMux
+from langgraph.stream._mux import AsyncStreamMux, StreamMux
 from langgraph.stream._types import ProtocolEvent
 from langgraph.stream.stream_channel import StreamChannel
 
@@ -70,7 +70,7 @@ async def test_top_level_ns_only():
 
 @pytest.mark.anyio
 async def test_subscribe_events_filter():
-    mux = StreamMux()
+    mux = AsyncStreamMux()
     mux.push(_event("values", {"a": 1}, ns=["child:0"]))
     mux.push(_event("values", {"b": 2}, ns=["other:1"]))
     mux.push(_event("values", {"c": 3}, ns=["child:0"]))
@@ -86,7 +86,7 @@ async def test_subscribe_events_filter():
 
 @pytest.mark.anyio
 async def test_close_resolves_output():
-    mux = StreamMux()
+    mux = AsyncStreamMux()
     fut = mux.get_output_future()
     mux.push(_event("values", {"v": 1}))
     mux.push(_event("values", {"v": 2}))
@@ -97,7 +97,7 @@ async def test_close_resolves_output():
 
 @pytest.mark.anyio
 async def test_fail_rejects_output():
-    mux = StreamMux()
+    mux = AsyncStreamMux()
     fut = mux.get_output_future()
     mux.fail(ValueError("boom"))
     with pytest.raises(ValueError, match="boom"):
@@ -155,7 +155,7 @@ async def test_push_after_close_ignored():
 
 @pytest.mark.anyio
 async def test_fail_rejects_all_futures():
-    mux = StreamMux()
+    mux = AsyncStreamMux()
     fut1 = mux.get_output_future([])
     fut2 = mux.get_output_future(["child:0"])
     mux.fail(ValueError("boom"))
@@ -172,7 +172,7 @@ async def test_channel_events_bypass_transformer_pipeline():
     the JS implementation and avoids re-entrancy bugs.
     """
     mock = _MockTransformer()
-    mux = StreamMux(transformers=[mock])
+    mux = AsyncStreamMux(transformers=[mock])
 
     channel: StreamChannel[str] = StreamChannel("my_channel")
     mux.wire_channels({"ch": channel})
@@ -208,7 +208,7 @@ async def test_event_log_has_monotonic_seq_numbers():
     while channel-emitted events use a separate counter
     (``_next_emit_seq``).  When interleaved, seq numbers can duplicate.
     """
-    mux = StreamMux()
+    mux = AsyncStreamMux()
     channel: StreamChannel[str] = StreamChannel("test_ch")
     mux.wire_channels({"ch": channel})
 
@@ -266,7 +266,7 @@ async def test_channel_push_during_process_preserves_namespace():
 
     t1 = _ChannelTransformer("first")
     t2 = _ChannelTransformer("second")
-    mux = StreamMux(transformers=[t1, t2])
+    mux = AsyncStreamMux(transformers=[t1, t2])
     mux.wire_channels({"first": t1.channel})
     mux.wire_channels({"second": t2.channel})
 
diff --git a/libs/langgraph/tests/test_stream_reducers.py b/libs/langgraph/tests/test_stream_reducers.py
index c0d119168..20362ec75 100644
--- a/libs/langgraph/tests/test_stream_reducers.py
+++ b/libs/langgraph/tests/test_stream_reducers.py
@@ -31,7 +31,7 @@ async def test_values_captures_values_events():
     reducer.finalize()
 
     collected = []
-    async for item in reducer.values_log.subscribe(0):
+    async for item in reducer.values_log:
         collected.append(item)
     assert len(collected) == 2
     assert collected[0]["data"] == {"a": 1}
@@ -47,7 +47,7 @@ async def test_values_ignores_other_modes():
     reducer.finalize()
 
     collected = []
-    async for item in reducer.values_log.subscribe(0):
+    async for item in reducer.values_log:
         collected.append(item)
     assert len(collected) == 0
 
@@ -113,7 +113,7 @@ async def test_messages_groups_lifecycle():
     reducer.finalize()
 
     collected = []
-    async for stream in reducer.messages_log.subscribe(0):
+    async for stream in reducer.messages_log:
         collected.append(stream)
     assert len(collected) == 1
     assert isinstance(collected[0], ChatModelStream)
@@ -131,7 +131,7 @@ async def test_messages_multiple_sequential():
     reducer.finalize()
 
     collected = []
-    async for stream in reducer.messages_log.subscribe(0):
+    async for stream in reducer.messages_log:
         collected.append(stream)
     assert len(collected) == 2
 
@@ -147,7 +147,7 @@ async def test_messages_namespace_filter():
     reducer.finalize()
 
     collected = []
-    async for stream in reducer.messages_log.subscribe(0):
+    async for stream in reducer.messages_log:
         collected.append(stream)
     assert len(collected) == 1
 
@@ -163,7 +163,7 @@ async def test_messages_node_filter():
     reducer.finalize()
 
     collected = []
-    async for stream in reducer.messages_log.subscribe(0):
+    async for stream in reducer.messages_log:
         collected.append(stream)
     assert len(collected) == 1
 
@@ -181,7 +181,7 @@ async def test_messages_error_event():
     reducer.finalize()
 
     collected: list[ChatModelStream] = []
-    async for stream in reducer.messages_log.subscribe(0):
+    async for stream in reducer.messages_log:
         collected.append(stream)
     assert len(collected) == 1
     assert collected[0].done
@@ -198,7 +198,7 @@ async def test_messages_fail_propagates_to_active():
 
     # The messages log should be failed too
     with pytest.raises(RuntimeError, match="graph failed"):
-        async for _ in reducer.messages_log.subscribe(0):
+        async for _ in reducer.messages_log:
             pass
 
 
@@ -210,5 +210,5 @@ async def test_values_fail_propagates():
     reducer.fail(RuntimeError("graph failed"))
 
     with pytest.raises(RuntimeError, match="graph failed"):
-        async for _ in reducer.values_log.subscribe(0):
+        async for _ in reducer.values_log:
             pass
diff --git a/libs/langgraph/tests/test_stream_run_stream.py b/libs/langgraph/tests/test_stream_run_stream.py
index 09cb5b67b..91c892d5f 100644
--- a/libs/langgraph/tests/test_stream_run_stream.py
+++ b/libs/langgraph/tests/test_stream_run_stream.py
@@ -4,12 +4,13 @@ from typing import Any
 
 import pytest
 
-from langgraph.stream._mux import StreamMux
+from langgraph.stream._mux import AsyncStreamMux
 from langgraph.stream._types import ProtocolEvent
 from langgraph.stream.chat_model_stream import ChatModelStream
 from langgraph.stream.run_stream import (
     AsyncGraphRunStream,
     AsyncSubgraphRunStream,
+    SubgraphRunStream,
     create_async_graph_run_stream,
     create_graph_run_stream,
 )
@@ -44,7 +45,7 @@ async def test_aiter_yields_all_events():
 @pytest.mark.anyio
 async def test_subgraph_name_and_index():
     vr, mr = ValuesTransformer(), MessagesTransformer()
-    mux = StreamMux(transformers=[vr, mr])
+    mux = AsyncStreamMux(transformers=[vr, mr])
     sub = AsyncSubgraphRunStream(
         mux=mux,
         namespace=["researcher:2"],
@@ -57,7 +58,7 @@ async def test_subgraph_name_and_index():
 @pytest.mark.anyio
 async def test_subgraph_name_no_index():
     vr, mr = ValuesTransformer(), MessagesTransformer()
-    mux = StreamMux(transformers=[vr, mr])
+    mux = AsyncStreamMux(transformers=[vr, mr])
     sub = AsyncSubgraphRunStream(
         mux=mux, namespace=["agent"], transformers=[vr, mr]
     )
@@ -132,7 +133,7 @@ async def test_messages_yields_streams():
 @pytest.mark.anyio
 async def test_interrupted_false_by_default():
     vr, mr = ValuesTransformer(), MessagesTransformer()
-    mux = StreamMux(transformers=[vr, mr])
+    mux = AsyncStreamMux(transformers=[vr, mr])
     run = AsyncGraphRunStream(mux=mux, transformers=[vr, mr])
     assert run.interrupted is False
 
@@ -140,7 +141,7 @@ async def test_interrupted_false_by_default():
 @pytest.mark.anyio
 async def test_abort_sets_signal():
     vr, mr = ValuesTransformer(), MessagesTransformer()
-    mux = StreamMux(transformers=[vr, mr])
+    mux = AsyncStreamMux(transformers=[vr, mr])
     run = AsyncGraphRunStream(mux=mux, transformers=[vr, mr])
     assert not run.signal.is_set()
     run.abort()
@@ -290,10 +291,8 @@ def test_sync_messages():
     assert collected[0].done
 
 
-def test_sync_messages_text_accessible():
-    """Sync consumers should be able to read ChatModelStream text content
-    without an async event loop.
-    """
+def test_sync_messages_text_streaming():
+    """Sync consumers can iterate msg.text for deltas."""
     chunks = [
         ((), "messages", {"event": "message-start", "message_id": "m1"}),
         (
@@ -314,18 +313,29 @@ def test_sync_messages_text_accessible():
         ),
         ((), "messages", {"event": "message-finish", "reason": "stop"}),
     ]
-    run = create_graph_run_stream(_sync_source(chunks))
 
+    # Iterate deltas
+    run = create_graph_run_stream(_sync_source(chunks))
     for msg in run.messages:
-        assert isinstance(msg.text, str)
-        assert msg.text == "Hello world"
+        deltas = list(msg.text)
+        assert deltas == ["Hello", " world"]
         assert msg.done
 
+    # str() returns full text
+    run = create_graph_run_stream(_sync_source(chunks))
+    for msg in run.messages:
+        assert str(msg.text) == "Hello world"
 
-def test_sync_messages_content_populated_when_yielded():
-    """When sync run.messages yields a ChatModelStream, its content should
-    be fully populated (done=True) with all text accumulated.
-    """
+    # After message is done, .text returns plain str
+    run = create_graph_run_stream(_sync_source(chunks))
+    for msg in run.messages:
+        list(msg.text)  # exhaust deltas
+        assert isinstance(msg.text, str)
+        assert msg.text == "Hello world"
+
+
+def test_sync_messages_multiple():
+    """Multiple sync messages each stream their own deltas."""
     chunks = [
         ((), "messages", {"event": "message-start", "message_id": "m1"}),
         (
@@ -350,12 +360,10 @@ def test_sync_messages_content_populated_when_yielded():
     ]
     run = create_graph_run_stream(_sync_source(chunks))
 
-    messages = list(run.messages)
-    assert len(messages) == 2
-    assert messages[0].done
-    assert messages[0].text == "answer"
-    assert messages[1].done
-    assert messages[1].text == "second"
+    all_deltas = []
+    for msg in run.messages:
+        all_deltas.append(list(msg.text))
+    assert all_deltas == [["answer"], ["second"]]
 
 
 def test_sync_output_mapper():
@@ -498,11 +506,14 @@ def test_sync_lazy_interleaved_projections():
     assert next(vit) == {"v": 1}
     assert consumed == 1
 
-    # Pull first message — pumps until message-finish (item 3) so the
-    # ChatModelStream is fully populated before yielding.
+    # Pull first message — yielded on message-start (item 2).
+    # Consuming str(msg.text) drives the pump to message-finish (item 3).
     mit = iter(run.messages)
     msg = next(mit)
     assert isinstance(msg, ChatModelStream)
+    assert consumed == 2
+    assert not msg.done
+    str(msg.text)  # pump until message completes
     assert msg.done
     assert consumed == 3
 
@@ -608,3 +619,362 @@ async def test_subgraph_child_values_receive_post_discovery_events():
         f"Expected 2 child value snapshots but got {len(values)}: {values}.  "
         "Child transformer missed post-discovery events."
     )
+
+
+# ---------------------------------------------------------------------------
+# SubgraphRunStream — sync subgraph tests
+# ---------------------------------------------------------------------------
+
+
+def test_sync_subgraphs_discovery():
+    """Iterating .subgraphs should discover child namespaces and yield
+    SubgraphRunStream instances with correct name and index.
+    """
+    chunks = [
+        (("agent:0",), "values", {"v": 1}),
+        (("agent:1",), "values", {"v": 2}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    subs = list(run.subgraphs)
+    assert len(subs) == 2
+    assert all(isinstance(s, SubgraphRunStream) for s in subs)
+    assert subs[0].name == "agent"
+    assert subs[0].index == 0
+    assert subs[1].name == "agent"
+    assert subs[1].index == 1
+
+
+def test_sync_subgraph_name_no_index():
+    """Subgraph without a colon-delimited index should have index=0."""
+    chunks = [
+        (("planner",), "values", {"v": 1}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    subs = list(run.subgraphs)
+    assert len(subs) == 1
+    assert subs[0].name == "planner"
+    assert subs[0].index == 0
+
+
+def test_sync_subgraph_no_subgraphs():
+    """When all events are root-level, .subgraphs should yield nothing."""
+    chunks = [
+        ((), "values", {"v": 1}),
+        ((), "values", {"v": 2}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    subs = list(run.subgraphs)
+    assert subs == []
+
+
+def test_sync_subgraph_values():
+    """SubgraphRunStream.values should yield only values from the child namespace."""
+    chunks = [
+        (("child:0",), "values", {"v": 1}),
+        ((), "values", {"root": True}),
+        (("child:0",), "values", {"v": 2}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    for sub in run.subgraphs:
+        vals = list(sub.values)
+        assert vals == [{"v": 1}, {"v": 2}]
+
+
+def test_sync_subgraph_values_multiple_children():
+    """Each child stream should only see its own values."""
+    chunks = [
+        (("a:0",), "values", {"who": "a0"}),
+        (("b:0",), "values", {"who": "b0"}),
+        (("a:0",), "values", {"who": "a0-2"}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    children: dict[str, list[Any]] = {}
+    for sub in run.subgraphs:
+        children[f"{sub.name}:{sub.index}"] = list(sub.values)
+
+    assert children["a:0"] == [{"who": "a0"}, {"who": "a0-2"}]
+    assert children["b:0"] == [{"who": "b0"}]
+
+
+def test_sync_subgraph_output():
+    """SubgraphRunStream.output should return the last values for the child."""
+    chunks = [
+        (("child:0",), "values", {"v": 1}),
+        (("child:0",), "values", {"v": 2}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    for sub in run.subgraphs:
+        assert sub.output == {"v": 2}
+
+
+def test_sync_subgraph_output_with_mapper():
+    """Output mapper should apply to subgraph output."""
+    chunks = [
+        (("child:0",), "values", {"v": 42}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(
+        _sync_source(chunks), output_mapper=lambda x: {"mapped": x.get("v")}
+    )
+    for sub in run.subgraphs:
+        assert sub.output == {"mapped": 42}
+
+
+def test_sync_subgraph_values_with_mapper():
+    """Output mapper should apply to each yielded value snapshot."""
+    chunks = [
+        (("child:0",), "values", {"v": 1}),
+        (("child:0",), "values", {"v": 2}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(
+        _sync_source(chunks), output_mapper=lambda x: {"m": x.get("v")}
+    )
+    for sub in run.subgraphs:
+        vals = list(sub.values)
+        assert vals == [{"m": 1}, {"m": 2}]
+
+
+def test_sync_subgraph_messages():
+    """SubgraphRunStream.messages should yield fully populated ChatModelStream instances."""
+    chunks = [
+        (
+            ("agent:0",),
+            "messages",
+            {"event": "message-start", "message_id": "m1", "__node__": "agent"},
+        ),
+        (
+            ("agent:0",),
+            "messages",
+            {
+                "event": "content-block-delta",
+                "content_block": {"type": "text", "text": "hello"},
+                "__node__": "agent",
+            },
+        ),
+        (
+            ("agent:0",),
+            "messages",
+            {"event": "message-finish", "reason": "stop", "__node__": "agent"},
+        ),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    for sub in run.subgraphs:
+        msgs = list(sub.messages)
+        assert len(msgs) == 1
+        assert isinstance(msgs[0], ChatModelStream)
+        assert msgs[0].done
+        assert msgs[0].text == "hello"
+
+
+def test_sync_subgraph_messages_isolated():
+    """Messages from different subgraphs should not leak between children."""
+    chunks = [
+        (
+            ("a:0",),
+            "messages",
+            {"event": "message-start", "message_id": "m-a", "__node__": "a"},
+        ),
+        (
+            ("a:0",),
+            "messages",
+            {
+                "event": "content-block-delta",
+                "content_block": {"type": "text", "text": "from-a"},
+                "__node__": "a",
+            },
+        ),
+        (
+            ("a:0",),
+            "messages",
+            {"event": "message-finish", "reason": "stop", "__node__": "a"},
+        ),
+        (
+            ("b:0",),
+            "messages",
+            {"event": "message-start", "message_id": "m-b", "__node__": "b"},
+        ),
+        (
+            ("b:0",),
+            "messages",
+            {
+                "event": "content-block-delta",
+                "content_block": {"type": "text", "text": "from-b"},
+                "__node__": "b",
+            },
+        ),
+        (
+            ("b:0",),
+            "messages",
+            {"event": "message-finish", "reason": "stop", "__node__": "b"},
+        ),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    msg_texts: dict[str, list[str]] = {}
+    for sub in run.subgraphs:
+        msg_texts[sub.name] = [str(m.text) for m in sub.messages]
+
+    assert msg_texts["a"] == ["from-a"]
+    assert msg_texts["b"] == ["from-b"]
+
+
+def test_sync_subgraph_raw_iter():
+    """Iterating a SubgraphRunStream directly should yield events scoped
+    to the child namespace.
+    """
+    chunks = [
+        (("child:0",), "values", {"v": 1}),
+        ((), "values", {"root": True}),
+        (("child:0",), "updates", {"node": "x"}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    for sub in run.subgraphs:
+        events = list(sub)
+        methods = [e["method"] for e in events]
+        assert "values" in methods
+        assert "updates" in methods
+        # Root events should not appear
+        for e in events:
+            assert e["params"]["namespace"] == ["child:0"]
+
+
+def test_sync_subgraph_events_after_discovery():
+    """Events arriving after a namespace is first discovered should still
+    be visible in the child's values iteration.
+    """
+    chunks = [
+        (("child:0",), "values", {"v": 1}),  # triggers discovery
+        ((), "values", {"root": 1}),
+        (("child:0",), "values", {"v": 2}),  # after discovery
+        (("child:0",), "values", {"v": 3}),  # after discovery
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    for sub in run.subgraphs:
+        vals = list(sub.values)
+        assert vals == [{"v": 1}, {"v": 2}, {"v": 3}]
+
+
+def test_sync_subgraph_lazy_pump():
+    """Subgraph iteration should pump the source lazily."""
+    consumed = 0
+
+    def counting_source():
+        nonlocal consumed
+        for chunk in [
+            (("child:0",), "values", {"v": 1}),
+            (("child:0",), "values", {"v": 2}),
+            (("child:0",), "values", {"v": 3}),
+            ((), "values", {"done": True}),
+        ]:
+            consumed += 1
+            yield chunk
+
+    run = create_graph_run_stream(counting_source())
+    assert consumed == 0
+
+    for sub in run.subgraphs:
+        # Discovery pumped the first event
+        it = iter(sub.values)
+        v = next(it)
+        assert v == {"v": 1}
+        # Should not have consumed everything yet
+        assert consumed < 4
+        break  # don't exhaust subgraphs
+
+
+def test_sync_subgraph_interleave_parent_values():
+    """Parent values and subgraph values should both be accessible
+    when interleaving iteration.
+    """
+    chunks = [
+        ((), "values", {"root": 1}),
+        (("child:0",), "values", {"child": 1}),
+        ((), "values", {"root": 2}),
+        (("child:0",), "values", {"child": 2}),
+        ((), "values", {"root": 3}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+
+    # First drain parent values
+    root_vals = list(run.values)
+    assert root_vals == [{"root": 1}, {"root": 2}, {"root": 3}]
+
+    # Source is exhausted, but subgraph transformers were registered
+    # via replay — subgraph iteration should still see buffered events
+    # Note: subgraphs must be iterated while source is being pumped
+    # to discover namespaces. Since we drained via values, namespace
+    # "child:0" was already discovered. But subgraphs iteration also
+    # needs to pump — and the source is exhausted. Let's verify it
+    # yields the discovered child.
+    subs = list(run.subgraphs)
+    assert len(subs) == 1
+    assert subs[0].name == "child"
+    # The child transformer was registered via replay, so it saw the events
+    vals = list(subs[0].values)
+    assert vals == [{"child": 1}, {"child": 2}]
+
+
+def test_sync_subgraph_interrupted():
+    """Subgraph .interrupted should reflect the mux's interrupt state."""
+
+    class _FakeInterrupt:
+        def __init__(self, id: str):
+            self.id = id
+
+    chunks = [
+        (("child:0",), "values", {"__interrupt__": [_FakeInterrupt("i1")]}),
+        ((), "values", {"done": True}),
+    ]
+    run = create_graph_run_stream(_sync_source(chunks))
+    for sub in run.subgraphs:
+        # Pump to process the interrupt
+        _ = sub.output
+        assert sub.interrupted is True
+        assert len(sub.interrupts) == 1
+
+
+def test_sync_subgraph_source_error():
+    """If the source raises mid-stream, subgraphs that were already
+    discovered should still have their buffered data.
+    """
+
+    def bad_source():
+        yield (("child:0",), "values", {"v": 1})
+        yield (("child:0",), "values", {"v": 2})
+        raise ValueError("boom")
+
+    run = create_graph_run_stream(bad_source())
+    for sub in run.subgraphs:
+        vals = list(sub.values)
+        assert vals == [{"v": 1}, {"v": 2}]
+        assert run._mux._error is not None
+
+
+def test_sync_subgraph_output_drains_source():
+    """Accessing subgraph .output should drain the full source."""
+    consumed = 0
+
+    def counting_source():
+        nonlocal consumed
+        for chunk in [
+            (("child:0",), "values", {"v": 1}),
+            (("child:0",), "values", {"v": 2}),
+            ((), "values", {"done": True}),
+        ]:
+            consumed += 1
+            yield chunk
+
+    run = create_graph_run_stream(counting_source())
+    for sub in run.subgraphs:
+        result = sub.output
+        assert result == {"v": 2}
+        assert consumed == 3