diff --git a/jedi/evaluate/jedi_typing.py b/jedi/evaluate/jedi_typing.py
index 14c74570..8d66258f 100644
--- a/jedi/evaluate/jedi_typing.py
+++ b/jedi/evaluate/jedi_typing.py
@@ -7,7 +7,19 @@ from collections import abc
 
 
 def factory(typing_name, indextype):
-    class Sequence(abc.Sequence):
+    class Iterable(abc.Iterable):
+        def __iter__(self):
+            yield indextype()
+
+    class Iterator(Iterable, abc.Iterator):
+        def next(self):
+            """ needed for python 2 """
+            return self.__next__()
+
+        def __next__(self):
+            return indextype()
+
+    class Sequence(Iterable, abc.Sequence):
         def __getitem__(self, index: int):
             return indextype()
 
@@ -15,12 +27,29 @@ def factory(typing_name, indextype):
         def __setitem__(self, index: int, value: indextype):
             pass
 
+        def __delitem__(self, index: int, value: indextype):
+            pass
+
     class List(MutableSequence, list):
+        pass
+
+    class AbstractSet(Iterable, abc.Set):
+        pass
+
+    class MutableSet(AbstractSet, abc.MutableSet):
+        def add(item: indextype):
+            pass
+
+        def discard(item: indextype):
             pass
 
     dct = {
         "Sequence": Sequence,
         "MutableSequence": MutableSequence,
         "List": List,
+        "Iterable": Iterable,
+        "Iterator": Iterator,
+        "AbstractSet": AbstractSet,
+        "MutableSet": MutableSet,
     }
     return dct[typing_name]
diff --git a/test/completion/pep0484.py b/test/completion/pep0484.py
index 75742846..f5c2f93d 100644
--- a/test/completion/pep0484.py
+++ b/test/completion/pep0484.py
@@ -192,3 +192,35 @@ def we_can_has_sequence(
     u.a
     #? float()
     u[1]
+
+def iterators(
+        ps: typing.Iterable[int],
+        qs: typing.Iterator[str],
+        rs: typing.Sequence["B"],
+        ts: typing.AbstractSet["float"]):
+    for p in ps:
+        #? int()
+        p
+    #?
+    next(ps)
+    for q in qs:
+        #? str()
+        q
+    #? str()
+    next(qs)
+    for r in rs:
+        #? B()
+        r
+    #?
+    next(rs)
+    for t in ts:
+        #? float()
+        t
+
+def sets(
+        p: typing.AbstractSet[int],
+        q: typing.MutableSet[float]):
+    #? []
+    p.a
+    #? ["add"]
+    q.a