diff --git a/src/nagini_translation/resources/bool.sil b/src/nagini_translation/resources/bool.sil
index 1261d6e8..b3e4e0d9 100644
--- a/src/nagini_translation/resources/bool.sil
+++ b/src/nagini_translation/resources/bool.sil
@@ -56,17 +56,17 @@ function int___eq__(self: Ref, other: Ref): Bool
     decreases _
     requires issubtype(typeof(self), int())
     requires issubtype(typeof(other), int())
-{
-    int___unbox__(self) == int___unbox__(other)
-}
+    ensures result == int___unbox__(self) == int___unbox__(other)
+    ensures result == object___eq__(self, other)
+
 
 function bool___eq__(self: Ref, other: Ref): Bool
     decreases _
     requires issubtype(typeof(self), bool())
     requires issubtype(typeof(other), bool())
-{
-    bool___unbox__(self) == bool___unbox__(other)
-}
+    ensures result == bool___unbox__(self) == bool___unbox__(other)
+    ensures result == object___eq__(self, other)
+
 
 function int___ge__(self: Int, other: Int): Bool
     decreases _
@@ -135,10 +135,25 @@ function int___int__(self: Ref): Ref
     requires issubtype(typeof(self), int())
     ensures result == self
 
-function object___eq__(self: Ref, other: Ref): Bool
-    decreases _
-    ensures self == other ==> result
-    ensures ((self == null) != (other == null)) ==> !result
+domain __ObjectEquality {
+    function object___eq__(Ref, Ref): Bool
+
+    axiom {
+        forall o1: Ref, o2: Ref, o3: Ref ::
+            { object___eq__(o1, o2), object___eq__(o2, o3) }
+            { object___eq__(o1, o2), object___eq__(o1, o3) }
+            { object___eq__(o2, o3), object___eq__(o1, o3) }
+            object___eq__(o1, o2) && object___eq__(o2, o3) ==> object___eq__(o1, o3)
+    }
+
+    axiom {
+        forall o1: Ref, o2: Ref :: { object___eq__(o1, o2) }
+            (object___eq__(o1, o2) == object___eq__(o2, o1)) &&
+            (o1 == o2 ==> object___eq__(o1, o2)) &&
+            (((o1 == null) != (o2 == null)) ==> !object___eq__(o1, o2))
+    }
+
+}
 
 function Place___eq__(self: Ref, other: Ref): Bool
     decreases _
diff --git a/src/nagini_translation/resources/bytes.sil b/src/nagini_translation/resources/bytes.sil
index a5fb515b..89ee78de 100644
--- a/src/nagini_translation/resources/bytes.sil
+++ b/src/nagini_translation/resources/bytes.sil
@@ -33,6 +33,7 @@ function bytes___eq__(self: Ref, other: Ref): Bool
     requires issubtype(typeof(self), bytes())
     ensures (bytes___val__(self) == bytes___val__(other)) == result
     ensures result ==> (issubtype(typeof(other), bytes()) && bytes___len__(self) == bytes___len__(other))
+    ensures result == object___eq__(self, other)
 
 function bytes___sil_seq__(self: Ref) : Seq[Ref]
     decreases _
diff --git a/src/nagini_translation/resources/preamble.index b/src/nagini_translation/resources/preamble.index
index be52406f..0b549d3a 100644
--- a/src/nagini_translation/resources/preamble.index
+++ b/src/nagini_translation/resources/preamble.index
@@ -559,7 +559,7 @@
         "__eq__": {
             "args": ["tuple", "object"],
             "type": "__prim__bool",
-            "requires": ["__len__", "__getitem__"]
+            "requires": ["__len__", "__getitem__", "object___eq__"]
         },
         "__sil_seq__": {
             "args": ["tuple"],
diff --git a/src/nagini_translation/resources/pset.sil b/src/nagini_translation/resources/pset.sil
index 334f8c29..6649b463 100644
--- a/src/nagini_translation/resources/pset.sil
+++ b/src/nagini_translation/resources/pset.sil
@@ -52,6 +52,7 @@ function PSet___eq__(self: Ref, other: Ref): Bool
     requires PSet_arg(typeof(self), 0) == PSet_arg(typeof(other), 0)
     ensures result == (PSet___unbox__(self) == PSet___unbox__(other))
     ensures result ==> self == other
+    ensures result == object___eq__(self, other)
 
 
 
@@ -103,3 +104,4 @@ function PMultiset___eq__(self: Ref, other: Ref): Bool
     requires PMultiset_arg(typeof(self), 0) == PMultiset_arg(typeof(other), 0)
     ensures result == (PMultiset___unbox__(self) == PMultiset___unbox__(other))
     ensures result ==> self == other // extensionality
+    ensures result == object___eq__(self, other)
diff --git a/src/nagini_translation/resources/range.sil b/src/nagini_translation/resources/range.sil
index 8983ffb9..97d02389 100644
--- a/src/nagini_translation/resources/range.sil
+++ b/src/nagini_translation/resources/range.sil
@@ -63,6 +63,7 @@ function range___eq__(self: Ref, other: Ref): Bool
   requires issubtype(typeof(self), range_0())
   ensures (range___val__(self) == range___val__(other)) == result
   ensures result ==> (issubtype(typeof(other), range_0()) && range___len__(self) == range___len__(other))
+  ensures result == object___eq__(self, other)
 
 
 function range___contains__(self: Ref, item: Ref): Bool
diff --git a/src/nagini_translation/resources/seq.sil b/src/nagini_translation/resources/seq.sil
index 5e35d1e3..d430c764 100644
--- a/src/nagini_translation/resources/seq.sil
+++ b/src/nagini_translation/resources/seq.sil
@@ -64,6 +64,7 @@ function PSeq___eq__(self: Ref, other: Ref): Bool
     requires PSeq_arg(typeof(self), 0) == PSeq_arg(typeof(other), 0)
     ensures result == (PSeq___sil_seq__(self) == PSeq___sil_seq__(other))
     ensures result ==> self == other // extensionality
+    ensures result == object___eq__(self, other)
 
 
 domain __MSHelper[T$] {
diff --git a/src/nagini_translation/resources/str.sil b/src/nagini_translation/resources/str.sil
index 6540b2d6..3144072b 100644
--- a/src/nagini_translation/resources/str.sil
+++ b/src/nagini_translation/resources/str.sil
@@ -29,6 +29,7 @@ function str___eq__(self: Ref, other: Ref): Bool
     requires issubtype(typeof(self), str())
     ensures (str___val__(self) == str___val__(other)) == result
     ensures result ==> (str___len__(self) == str___len__(other))
+    ensures result == object___eq__(self, other)
 
 function str___add__(self: Ref, other: Ref): Ref
     decreases _
diff --git a/src/nagini_translation/resources/tuple.sil b/src/nagini_translation/resources/tuple.sil
index cc2c56dd..f3f30b7c 100644
--- a/src/nagini_translation/resources/tuple.sil
+++ b/src/nagini_translation/resources/tuple.sil
@@ -119,7 +119,9 @@ function tuple___contains__(self: Ref, item: Ref): Bool
 
 function tuple___eq__(self: Ref, other: Ref): Bool
     decreases _
-    ensures (tuple___len__(self) == tuple___len__(other) &&
-             (forall i: Int :: {tuple___getitem__(self, i), tuple___getitem__(other, i)} i >= 0 && i < tuple___len__(self)
-                                ==> tuple___getitem__(self, i) == tuple___getitem__(other, i)))
-             ==> result
+    ensures result <==>
+            (tuple___len__(self) == tuple___len__(other) &&
+             (forall i: Int :: { tuple___getitem__(self, i) }
+                               { tuple___getitem__(other, i)}
+                               i >= 0 && i < tuple___len__(self)
+                                ==> object___eq__(tuple___getitem__(self, i), tuple___getitem__(other, i))))
diff --git a/src/nagini_translation/translators/common.py b/src/nagini_translation/translators/common.py
index 215e717a..9660d35d 100644
--- a/src/nagini_translation/translators/common.py
+++ b/src/nagini_translation/translators/common.py
@@ -20,6 +20,7 @@
     MAIN_METHOD_NAME,
     MAY_SET_PRED,
     NAME_DOMAIN,
+    OBJECT_TYPE,
     PRIMITIVE_BOOL_TYPE,
     PRIMITIVE_INT_TYPE,
     RANGE_TYPE,
@@ -699,9 +700,9 @@ def get_function_call(self, receiver: PythonType,
                 guard = self.type_check(args[0], cls, position, ctx)
 
                 # Translate the function call on this particular receiver's class
-                function = self._get_function_call(cls, func_name, args,
-                                                   arg_types, node, ctx,
-                                                   position)
+                function = self.get_function_call(cls, func_name, args,
+                                                  arg_types, node, ctx,
+                                                  position)
 
                 # Stores guard and translated function call as tuple in a list
                 guarded_functions.append((guard, function))
@@ -711,6 +712,14 @@ def get_function_call(self, receiver: PythonType,
             return chain_cond_exp(guarded_functions, self.viper, position,
                                   self.no_info(ctx), ctx)
         else:
+            if func_name == '__eq__':
+                func_cls = receiver.get_function(func_name).cls
+                if func_cls.name == OBJECT_TYPE:
+                    assert len(args) == 2
+                    arg1 = self.to_ref(args[0], ctx)
+                    arg2 = self.to_ref(args[1], ctx)
+                    return self.viper.DomainFuncApp('object___eq__', [arg1, arg2], self.viper.Bool, position,
+                                                    self.no_info(ctx), '__ObjectEquality')
             if receiver.python_class.name == FLOAT_TYPE:
                 if ctx.float_encoding is None:
                     import logging
diff --git a/src/nagini_translation/translators/expression.py b/src/nagini_translation/translators/expression.py
index 1660adc4..09d4f7d9 100644
--- a/src/nagini_translation/translators/expression.py
+++ b/src/nagini_translation/translators/expression.py
@@ -1130,7 +1130,7 @@ def translate_Compare(self, node: ast.Compare,
             comparison = self.get_function_call(left_type, compare_func,
                                                 [left, right],
                                                 [left_type, right_type],
-                                                node, ctx)
+                                                node, ctx, position)
         elif compare_func == '__ne__' and left_type.get_function('__eq__'):
             # The default behavior if __ne__ is not explicitly defined
             # is to invert the result of __eq__.
diff --git a/tests/functional/verification/issues/00164.py b/tests/functional/verification/issues/00164.py
new file mode 100644
index 00000000..b1f40426
--- /dev/null
+++ b/tests/functional/verification/issues/00164.py
@@ -0,0 +1,46 @@
+from typing import *
+
+from nagini_contracts.contracts import *
+
+Shape = Tuple[int, ...]
+
+class ndarray:
+  @property
+  def shape(self) -> Shape:
+    ...
+
+  @shape.setter
+  def shape(self, new_shape: Shape) -> None:
+    ...
+
+
+@Predicate
+@ContractOnly
+def array_pred(array: ndarray) -> bool:
+  return True
+
+
+@Pure
+@ContractOnly
+def array_shape(array: ndarray) -> Shape: #type: ignore[return]
+  Requires(Acc(array_pred(array), 1/2))
+  ...
+
+@ContractOnly
+def ones(shape: Shape) -> ndarray: #type: ignore[return]
+  Requires(len(shape) > 0)
+  Requires(Forall(shape, lambda l: l > 0))
+
+  Ensures(array_pred(Result()))
+  Ensures(array_shape(Result()) == shape)
+  ...
+
+shape = (2,)
+array1 = ones(shape)
+array2 = ones(shape)
+
+
+
+assert array_shape(array1) == shape
+assert array_shape(array2) == shape
+assert array_shape(array1) == array_shape(array2)
\ No newline at end of file
diff --git a/tests/sif-true/verification/test_lowval.py b/tests/sif-true/verification/test_lowval.py
index e3f36c7b..3b4b00af 100644
--- a/tests/sif-true/verification/test_lowval.py
+++ b/tests/sif-true/verification/test_lowval.py
@@ -60,7 +60,6 @@ def example_tuple_low(secret: bool) -> Example:
 
 def example_tuple_lowval(secret: bool) -> Example:
     Ensures(Acc(Result().f) and Acc(Result().g))
-    #:: ExpectedOutput(postcondition.violated:assertion.false)
     Ensures(LowVal((Result().f, Result().g)))
     a = Example()
     b = Example()