diff --git a/xdsl/dialects/memref_stream.py b/xdsl/dialects/memref_stream.py
index 9335d48c2a..f97bd909df 100644
--- a/xdsl/dialects/memref_stream.py
+++ b/xdsl/dialects/memref_stream.py
@@ -370,7 +370,7 @@ class GenericOp(IRDLOperation):
     Pointers to memory buffers or streams to be operated on. The corresponding stride
     pattern defines the order in which the elements of the input buffers will be read.
     """
-    outputs = var_operand_def(AnyMemRefTypeConstr | stream.WritableStreamType.constr())
+    outputs = var_operand_def(AnyMemRefTypeConstr | stream.AnyWritableStreamTypeConstr)
     """
     Pointers to memory buffers or streams to be operated on. The corresponding stride
     pattern defines the order in which the elements of the input buffers will be written
diff --git a/xdsl/dialects/stream.py b/xdsl/dialects/stream.py
index 3c2d5ea2d6..8486b303cd 100644
--- a/xdsl/dialects/stream.py
+++ b/xdsl/dialects/stream.py
@@ -1,7 +1,7 @@
 from __future__ import annotations
 
 import abc
-from typing import ClassVar, Generic, TypeVar, cast, overload
+from typing import ClassVar, Generic, TypeVar, cast
 
 from typing_extensions import Self
 
@@ -46,30 +46,10 @@ def __init__(self, element_type: _StreamTypeElement):
     def get_element_type(self) -> _StreamTypeElement:
         return self.element_type
 
-    @overload
     @staticmethod
     def constr(
-        *,
-        element_type: None = None,
-    ) -> BaseAttr[StreamType[Attribute]]: ...
-
-    @overload
-    @staticmethod
-    def constr(
-        *,
         element_type: GenericAttrConstraint[_StreamTypeElementConstrT],
-    ) -> ParamAttrConstraint[StreamType[_StreamTypeElementConstrT]]: ...
-
-    @staticmethod
-    def constr(
-        *,
-        element_type: GenericAttrConstraint[_StreamTypeElementConstrT] | None = None,
-    ) -> (
-        BaseAttr[StreamType[Attribute]]
-        | ParamAttrConstraint[StreamType[_StreamTypeElementConstrT]]
-    ):
-        if element_type is None:
-            return BaseAttr[StreamType[Attribute]](StreamType)
+    ) -> ParamAttrConstraint[StreamType[_StreamTypeElementConstrT]]:
         return ParamAttrConstraint[StreamType[_StreamTypeElementConstrT]](
             StreamType, (element_type,)
         )
@@ -79,68 +59,38 @@ def constr(
 class ReadableStreamType(Generic[_StreamTypeElement], StreamType[_StreamTypeElement]):
     name = "stream.readable"
 
-    @overload
     @staticmethod
     def constr(
-        *,
-        element_type: None = None,
-    ) -> BaseAttr[ReadableStreamType[Attribute]]: ...
-
-    @overload
-    @staticmethod
-    def constr(
-        *,
         element_type: GenericAttrConstraint[_StreamTypeElementConstrT],
-    ) -> ParamAttrConstraint[ReadableStreamType[_StreamTypeElementConstrT]]: ...
-
-    @staticmethod
-    def constr(
-        *,
-        element_type: GenericAttrConstraint[_StreamTypeElementConstrT] | None = None,
-    ) -> (
-        BaseAttr[ReadableStreamType[Attribute]]
-        | ParamAttrConstraint[ReadableStreamType[_StreamTypeElementConstrT]]
-    ):
-        if element_type is None:
-            return BaseAttr[ReadableStreamType[Attribute]](ReadableStreamType)
+    ) -> ParamAttrConstraint[ReadableStreamType[_StreamTypeElementConstrT]]:
         return ParamAttrConstraint[ReadableStreamType[_StreamTypeElementConstrT]](
             ReadableStreamType, (element_type,)
         )
 
 
+AnyReadableStreamTypeConstr = BaseAttr[ReadableStreamType[Attribute]](
+    ReadableStreamType
+)
+
+
 @irdl_attr_definition
 class WritableStreamType(Generic[_StreamTypeElement], StreamType[_StreamTypeElement]):
     name = "stream.writable"
 
-    @overload
-    @staticmethod
-    def constr(
-        *,
-        element_type: None = None,
-    ) -> BaseAttr[WritableStreamType[Attribute]]: ...
-
-    @overload
     @staticmethod
     def constr(
-        *,
         element_type: GenericAttrConstraint[_StreamTypeElementConstrT],
-    ) -> ParamAttrConstraint[WritableStreamType[_StreamTypeElementConstrT]]: ...
-
-    @staticmethod
-    def constr(
-        *,
-        element_type: GenericAttrConstraint[_StreamTypeElementConstrT] | None = None,
-    ) -> (
-        BaseAttr[WritableStreamType[Attribute]]
-        | ParamAttrConstraint[WritableStreamType[_StreamTypeElementConstrT]]
-    ):
-        if element_type is None:
-            return BaseAttr[WritableStreamType[Attribute]](WritableStreamType)
+    ) -> ParamAttrConstraint[WritableStreamType[_StreamTypeElementConstrT]]:
         return ParamAttrConstraint[WritableStreamType[_StreamTypeElementConstrT]](
             WritableStreamType, (element_type,)
         )
 
 
+AnyWritableStreamTypeConstr = BaseAttr[WritableStreamType[Attribute]](
+    WritableStreamType
+)
+
+
 class ReadOperation(IRDLOperation, abc.ABC):
     """
     Abstract base class for operations that read from a stream.
@@ -148,7 +98,7 @@ class ReadOperation(IRDLOperation, abc.ABC):
 
     T: ClassVar = VarConstraint("T", AnyAttr())
 
-    stream = operand_def(ReadableStreamType.constr(element_type=T))
+    stream = operand_def(ReadableStreamType.constr(T))
     res = result_def(T)
 
     def __init__(self, stream: SSAValue, result_type: Attribute | None = None):
@@ -182,7 +132,7 @@ class WriteOperation(IRDLOperation, abc.ABC):
     T: ClassVar = VarConstraint("T", AnyAttr())
 
     value = operand_def(T)
-    stream = operand_def(WritableStreamType.constr(element_type=T))
+    stream = operand_def(WritableStreamType.constr(T))
 
     def __init__(self, value: SSAValue, stream: SSAValue):
         super().__init__(operands=[value, stream])