It turns out "is" is just a normal overridable operator. Who knew?

doc/site/core/object.markdown

@@ -3,7 +3,7 @@
 
 ## Static Methods
 
-## **same**(obj1, obj2)
+### **same**(obj1, obj2)
 
 Returns `true` if *obj1* and *obj2* are the same. For [value
 types](../values.html), this returns `true` if the objects have equivalent
@@ -20,7 +20,9 @@ even on user-defined classes.
 
 ### **!** operator
 
-Returns `false`, since most objects are considered [true](control-flow.html#truth).
+Returns `false`, since most objects are considered [true][].
+
+[true]: control-flow.html#truth
 
 ### **==**(other) and **!=**(other) operators
 
@@ -28,10 +30,25 @@ Compares two objects using built-in equality. This compares [value
 types](../values.html) by value, and all other objects are compared by
 identity—two objects are equal only if they are the exact same object.
 
+### **is**(class) operator
+
+Returns `true` if this object's class or one of its superclasses is `class`.
+
+    :::wren
+    System.print(123 is Num)     //> true
+    System.print("s" is Num)     //> false
+    System.print(null is String) //> false
+    System.print([] is List)     //> true
+    System.print([] is Sequence) //> true
+
+It is a runtime error if `class` is not a [Class][].
+
 ### **toString**
 
 A default string representation of the object.
 
 ### **type**
 
-The [Class](#class-class) of the object.
+The [Class][] of the object.
+
+[class]: class.html

doc/site/method-calls.markdown

@@ -123,7 +123,7 @@ We also have a slew of infix operators—they have operands on both sides.
 They are:
 
     :::wren
-    == != < > <= >= .. ... | & + - * / %
+    == != < > <= >= .. ... | & + - * / % is
 
 Like prefix operators, they are all funny ways of writing method calls. The left
 operand is the receiver, and the right operand gets passed to it. So `a + b` is
@@ -138,6 +138,13 @@ objects, but they are method calls like other operators.
 
 [range]: values.html#ranges
 
+The `is` keyword is a "type test" operator. The base [Object][] class implements
+it to tell if an object is an instance of a given class. You'll rarely need to,
+but you can override `is` in your own classes. That can be useful for things
+like mocks or proxies where you want an object to masquerade as a certain class.
+
+[object]: core/object.html
+
 ## Subscripts
 
 Another familiar syntax from math class is *subscripting* using square brackets