diff --git a/jbmc/src/java_bytecode/README.md b/jbmc/src/java_bytecode/README.md
index b590319830d..901c1918ca5 100644
--- a/jbmc/src/java_bytecode/README.md
+++ b/jbmc/src/java_bytecode/README.md
@@ -43,6 +43,12 @@ To be documented.
 
 To be documented.
 
+\section java-bytecode-remove-instanceof Remove instanceof
+
+\ref remove_instanceof.h removes the bytecode instruction `instanceof ` and replaces it with two instructions:
+ - check whether the pointer is null
+ - if not null, does the class identifier match the type of any of its subtypes
+
 \section java-bytecode-method-stubbing Method stubbing
 
 To be documented.
diff --git a/jbmc/src/java_bytecode/remove_instanceof.h b/jbmc/src/java_bytecode/remove_instanceof.h
index 7b1f08c1261..f3a4c7f907e 100644
--- a/jbmc/src/java_bytecode/remove_instanceof.h
+++ b/jbmc/src/java_bytecode/remove_instanceof.h
@@ -8,6 +8,73 @@ Author: Chris Smowton, chris.smowton@diffblue.com
 
 /// \file
 /// Remove Instance-of Operators
+///
+/// Java has an operator called `instanceof`, which is used to check if an
+/// instance of a class is of a particular type. For example given that `A` and
+/// `B` are the identifiers of classes, which directly extend Object. If the
+/// following example java code is executed -
+/// ```java
+/// Object a = new A();
+/// boolean x = a instanceof A; // true
+/// boolean y = a instanceof B; // false
+/// ```
+/// Then, `x` will be set to `true` and `y` will be set to `false`.
+///
+/// `instanceof` also works with inheritance. Given classes `C` and `D`, where
+/// `C` extends from `Object` and `D` extends `C`. If the following example java
+/// code is executed -
+/// ```java
+/// Object c = new C();
+/// Object d = new D();
+/// boolean b1 = c instanceof C; // true
+/// boolean b2 = c instanceof D; // false
+/// boolean b3 = d instanceof C; // true
+/// boolean b4 = d instanceof D; // true
+/// ```
+/// Then, `b1` will be `true`, `b2` will be `false`, `b3` will be `true` and
+/// `b4` will be `true`.
+///
+/// `instanceof` has its own instruction type in the java bytecode. We need to
+/// rewrite it in terms of other, more fundamental operations in order to
+/// analyse it. This operation is referred to as "lowering" or in this
+/// specific case - `remove_instanceof`.
+///
+/// For a simple example where class `A` extends `Object` and no classes extend
+/// `A`, the expression `e instanceof A` needs to be lowered to an expression
+/// equivalent to `e == null ? false : e->@class_identifier == "A"`. The null
+/// case needs to be taken into account first, as we can't lookup the value of
+/// a `@class_identifier` field in a null pointer. Note that according to the
+/// Java specification, `null` is not an instance of any type.
+///
+/// For an example with inheritance where class `D` extends `C` and `C` extends
+/// `Object`, then `e instanceof C` needs to be lowered to an expression
+/// equivalent to `e == null ? false : (e->@class_identifier == "C" ||
+/// e->@class_identifier == "D")`. To lower `e instanceof C` correctly, we need
+/// to take into account each of the classes extends from `C`. Working out what
+/// classes extend a given class type is performed using an instance of the
+/// `class_hierarchyt` class.
+///
+/// In terms of the goto program, the `instanceof` operator is identified in the
+/// expression tree, based on the `exprt.id()` being `ID_java_instance_of`. The
+/// left hand side of the operator must be a pointer and the right hand side
+/// must be a type.
+///
+/// The lowered form has a refinement to help with null pointer analysis later
+/// on. Instead of dereferencing the pointer to get `@class_identifier` in each
+/// comparision, it is dereferenced a single time and the result is reused. This
+/// is easier to analyse for null pointers, because there is only a single
+/// dereference to consider. So the constructed program takes the form -
+/// ```cpp
+/// if(expr == null)
+///   instanceof_result = false;
+/// else
+///   string class_identifier_tmpX = expr->@class_identifier;
+///   instanceof_result =
+///     class_identifier_tmpX == "C" ||
+///     class_identifier_tmpX == "D";
+/// ```
+/// Where the `X` in `class_identifier_tmp` is a number which makes the
+/// identifier unique.
 
 #ifndef CPROVER_JAVA_BYTECODE_REMOVE_INSTANCEOF_H
 #define CPROVER_JAVA_BYTECODE_REMOVE_INSTANCEOF_H