diff --git a/src/sage/structure/element.pxd b/src/sage/structure/element.pxd
index cc1bf225710..934427c8564 100644
--- a/src/sage/structure/element.pxd
+++ b/src/sage/structure/element.pxd
@@ -151,7 +151,6 @@ cdef bin_op_exception(op, x, y)
 cdef class Element(SageObject):
     cdef Parent _parent
     cpdef _richcmp_(left, right, int op)
-    cpdef int _cmp_(left, right) except -2
     cpdef base_extend(self, R)
 
     cdef getattr_from_category(self, name)
diff --git a/src/sage/structure/element.pyx b/src/sage/structure/element.pyx
index 3b386c31d6f..eec32c260af 100644
--- a/src/sage/structure/element.pyx
+++ b/src/sage/structure/element.pyx
@@ -1159,13 +1159,6 @@ cdef class Element(SageObject):
             return True
         return NotImplemented
 
-    cpdef int _cmp_(left, right) except -2:
-        """
-        This was the old comparison framework. Now deprecated. Do not use.
-        """
-        deprecation(30130, "please use _richcmp_ for comparison methods")
-        raise NotImplementedError("__cmp__ and _cmp_ are deprecated")
-
     ##################################################
     # Arithmetic using the coercion model
     ##################################################
diff --git a/src/sage/structure/global_options.py b/src/sage/structure/global_options.py
index d27bda16658..5e3a58a5bc4 100644
--- a/src/sage/structure/global_options.py
+++ b/src/sage/structure/global_options.py
@@ -632,7 +632,7 @@ def __bool__(self) -> bool:
         """
         return bool(self._options[self._name])
 
-    def __call__(self, *args, **kwds):
+    def __call__(self, *args):
         r"""
         Get or set value of the option ``self``.
 
@@ -662,38 +662,20 @@ def __call__(self, *args, **kwds):
             True
             sage: config._reset()
 
-        Check the deprecation::
+        Check the input::
 
-            sage: config.size(value=None)
-            doctest:...: DeprecationWarning: keyword argument "value" should be replaced by positional argument
-            See https://github.com/sagemath/sage/issues/30763 for details.
-            sage: config.size() is None
-            True
             sage: config.size(1, 2)
             Traceback (most recent call last):
             ...
-            TypeError: option takes at most one argument "value"
-            sage: config.size(unknown=3)
-            Traceback (most recent call last):
-            ...
-            TypeError: option takes at most one argument "value"
-            sage: config.size(4, value=5)
-            Traceback (most recent call last):
-            ...
-            TypeError: option takes at most one argument "value"
+            TypeError: option takes at most one argument
         """
-        if not args and not kwds:
+        if not args:
             return self._options[self._name]
-        if 'value' in kwds:
-            from sage.misc.superseded import deprecation
-            deprecation(30763, 'keyword argument "value" should be replaced '
-                               'by positional argument')
-            args += (kwds.pop('value'),)
-        if len(args) > 1 or kwds:
-            raise TypeError('option takes at most one argument "value"')
+        if len(args) > 1:
+            raise TypeError('option takes at most one argument')
         self._options[self._name] = args[0]
 
-    def __eq__(self, other):
+    def __eq__(self, other) -> bool:
         r"""
         Equality testing for an option in based on the value of the attribute.
 
@@ -708,7 +690,7 @@ def __eq__(self, other):
         """
         return self._options[self._name] == other
 
-    def __ne__(self, other):
+    def __ne__(self, other) -> bool:
         r"""
         Inequality testing for an option in based on the value of
         the attribute.
@@ -724,7 +706,7 @@ def __ne__(self, other):
         """
         return self._options[self._name] != other
 
-    def __hash__(self):
+    def __hash__(self) -> int:
         r"""
         Return the hash of ``self``, which is the hash of the corresponding
         value.
@@ -736,7 +718,7 @@ def __hash__(self):
         """
         return hash(self._options[self._name])
 
-    def __str__(self):
+    def __str__(self) -> str:
         r"""
         Return the string representation of ``self``, which is the string of
         the corresponding value.
diff --git a/src/sage/structure/support_view.py b/src/sage/structure/support_view.py
index 5daf8c2e496..b7b7bd47306 100644
--- a/src/sage/structure/support_view.py
+++ b/src/sage/structure/support_view.py
@@ -2,11 +2,8 @@
 r"""
 Iterable of the keys of a Mapping associated with nonzero values
 """
-
 from collections.abc import MappingView, Sequence, Set
 
-from sage.misc.superseded import deprecation
-
 
 class SupportView(MappingView, Sequence, Set):
     r"""
@@ -49,7 +46,7 @@ class SupportView(MappingView, Sequence, Set):
         3
     """
 
-    def __init__(self, mapping, *, zero=None):
+    def __init__(self, mapping, *, zero=None) -> None:
         r"""
         TESTS::
 
@@ -61,7 +58,7 @@ def __init__(self, mapping, *, zero=None):
         self._mapping = mapping
         self._zero = zero
 
-    def __len__(self):
+    def __len__(self) -> int:
         r"""
         TESTS::
 
@@ -120,7 +117,7 @@ def __iter__(self):
                 if value != zero:
                     yield key
 
-    def __contains__(self, key):
+    def __contains__(self, key) -> bool:
         r"""
         TESTS::
 
@@ -149,14 +146,8 @@ def __eq__(self, other):
             sage: supp = SupportView(d); supp
             SupportView({1: 17, 2: 0})
             sage: supp == [1]
-            doctest:warning...
-            DeprecationWarning: comparing a SupportView with a list is deprecated
-            See https://github.com/sagemath/sage/issues/34509 for details.
-            True
+            False
         """
-        if isinstance(other, list):
-            deprecation(34509, 'comparing a SupportView with a list is deprecated')
-            return list(self) == other
         return NotImplemented
 
     def __ne__(self, other):
@@ -168,12 +159,6 @@ def __ne__(self, other):
             sage: supp = SupportView(d); supp
             SupportView({1: 17, 2: 0})
             sage: supp != [1]
-            doctest:warning...
-            DeprecationWarning: comparing a SupportView with a list is deprecated
-            See https://github.com/sagemath/sage/issues/34509 for details.
-            False
+            True
         """
-        if isinstance(other, list):
-            deprecation(34509, 'comparing a SupportView with a list is deprecated')
-            return list(self) != other
         return NotImplemented