diff --git a/pandas/_libs/lib.pyi b/pandas/_libs/lib.pyi
index 2439082bf7413..72b46d9e30684 100644
--- a/pandas/_libs/lib.pyi
+++ b/pandas/_libs/lib.pyi
@@ -240,6 +240,6 @@ def get_reverse_indexer(
 ) -> npt.NDArray[np.intp]: ...
 def is_bool_list(obj: list) -> bool: ...
 def dtypes_all_equal(types: list[DtypeObj]) -> bool: ...
-def array_equal_fast(
-    left: np.ndarray, right: np.ndarray  # np.ndarray[np.int64, ndim=1]
+def is_range_indexer(
+    left: np.ndarray, n: int  # np.ndarray[np.int64, ndim=1]
 ) -> bool: ...
diff --git a/pandas/_libs/lib.pyx b/pandas/_libs/lib.pyx
index 176307ef27cff..16d5bbaad9de9 100644
--- a/pandas/_libs/lib.pyx
+++ b/pandas/_libs/lib.pyx
@@ -650,22 +650,20 @@ ctypedef fused int6432_t:
 
 @cython.wraparound(False)
 @cython.boundscheck(False)
-def array_equal_fast(
-    ndarray[int6432_t, ndim=1] left, ndarray[int6432_t, ndim=1] right,
-) -> bool:
+def is_range_indexer(ndarray[int6432_t, ndim=1] left, int n) -> bool:
     """
     Perform an element by element comparison on 1-d integer arrays, meant for indexer
     comparisons
     """
     cdef:
-        Py_ssize_t i, n = left.size
+        Py_ssize_t i
 
-    if left.size != right.size:
+    if left.size != n:
         return False
 
     for i in range(n):
 
-        if left[i] != right[i]:
+        if left[i] != i:
             return False
 
     return True
diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index eb0eb34dbefc4..3b122eaa814e5 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -48,7 +48,7 @@
 from pandas._libs.hashtable import duplicated
 from pandas._libs.lib import (
     NoDefault,
-    array_equal_fast,
+    is_range_indexer,
     no_default,
 )
 from pandas._typing import (
@@ -6724,7 +6724,7 @@ def sort_values(
             else:
                 return self.copy(deep=None)
 
-        if array_equal_fast(indexer, np.arange(0, len(indexer), dtype=indexer.dtype)):
+        if is_range_indexer(indexer, len(indexer)):
             if inplace:
                 return self._update_inplace(self)
             else:
diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index ab9b76fbdf712..a91c46d7d06c4 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -35,7 +35,7 @@
 )
 
 from pandas._libs import lib
-from pandas._libs.lib import array_equal_fast
+from pandas._libs.lib import is_range_indexer
 from pandas._libs.tslibs import (
     Period,
     Tick,
@@ -3780,10 +3780,7 @@ def _take(
                 axis == 0
                 and indices.ndim == 1
                 and using_copy_on_write()
-                and array_equal_fast(
-                    indices,
-                    np.arange(0, len(self), dtype=np.intp),
-                )
+                and is_range_indexer(indices, len(self))
             ):
                 return self.copy(deep=None)
 
diff --git a/pandas/core/series.py b/pandas/core/series.py
index 91f7095e59db5..2849b009cf72c 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -33,7 +33,7 @@
     reshape,
 )
 from pandas._libs.lib import (
-    array_equal_fast,
+    is_range_indexer,
     no_default,
 )
 from pandas._typing import (
@@ -891,7 +891,7 @@ def take(self, indices, axis: Axis = 0, **kwargs) -> Series:
         if (
             indices.ndim == 1
             and using_copy_on_write()
-            and array_equal_fast(indices, np.arange(0, len(self), dtype=indices.dtype))
+            and is_range_indexer(indices, len(self))
         ):
             return self.copy(deep=None)
 
@@ -3566,9 +3566,7 @@ def sort_values(
         values_to_sort = ensure_key_mapped(self, key)._values if key else self._values
         sorted_index = nargsort(values_to_sort, kind, bool(ascending), na_position)
 
-        if array_equal_fast(
-            sorted_index, np.arange(0, len(sorted_index), dtype=sorted_index.dtype)
-        ):
+        if is_range_indexer(sorted_index, len(sorted_index)):
             if inplace:
                 return self._update_inplace(self)
             return self.copy(deep=None)
diff --git a/pandas/tests/libs/test_lib.py b/pandas/tests/libs/test_lib.py
index e352250dc748d..302dc21ec997c 100644
--- a/pandas/tests/libs/test_lib.py
+++ b/pandas/tests/libs/test_lib.py
@@ -244,25 +244,22 @@ def test_get_reverse_indexer(self):
         tm.assert_numpy_array_equal(result, expected)
 
     @pytest.mark.parametrize("dtype", ["int64", "int32"])
-    def test_array_equal_fast(self, dtype):
+    def test_is_range_indexer(self, dtype):
         # GH#50592
-        left = np.arange(1, 100, dtype=dtype)
-        right = np.arange(1, 100, dtype=dtype)
-        assert lib.array_equal_fast(left, right)
+        left = np.arange(0, 100, dtype=dtype)
+        assert lib.is_range_indexer(left, 100)
 
     @pytest.mark.parametrize("dtype", ["int64", "int32"])
-    def test_array_equal_fast_not_equal(self, dtype):
+    def test_is_range_indexer_not_equal(self, dtype):
         # GH#50592
         left = np.array([1, 2], dtype=dtype)
-        right = np.array([2, 2], dtype=dtype)
-        assert not lib.array_equal_fast(left, right)
+        assert not lib.is_range_indexer(left, 2)
 
     @pytest.mark.parametrize("dtype", ["int64", "int32"])
-    def test_array_equal_fast_not_equal_shape(self, dtype):
+    def test_is_range_indexer_not_equal_shape(self, dtype):
         # GH#50592
-        left = np.array([1, 2, 3], dtype=dtype)
-        right = np.array([2, 2], dtype=dtype)
-        assert not lib.array_equal_fast(left, right)
+        left = np.array([0, 1, 2], dtype=dtype)
+        assert not lib.is_range_indexer(left, 2)
 
 
 def test_cache_readonly_preserve_docstrings():