How to get the public writable properties of a class [duplicate]

This question already has an answer here:

• c# - How to check if property setter is public 4 answers

Very similar to How to get all public both get and set properties of a type

Suppose I have a simple class:

public class MyClass
{
    private int A {get; set;}
    public int B {get; private set;}
    public int C {get; set;}

    public MyClass() {... sets this.A and this.B}
}

Using reflection I want the sequence of all properties that I can write values to. The following is incorrect:

var allWritableProperties = typeof(MyClass).GetProperties()
    .Where(property => property.CanWrite);

• Method GetProperties correctly returns only the public properties B and C.
• Property B has a private Set, so I can't write to it.
• Yet B CanWrite is true, therefore the Where Function will return B and C.
• I can only write to C, therefore I want only C

For those who want to know why I want to do this. I have a class with that implements IEquality. I have a unit test that tests whether this is implemented correctly. Recently someone added a property but forgot to change the Equals function. Therefore some different objects were considered to be equal. My unit test should have warned about this.

Therefore I want to change the test such that it changes all public writable properties one by one and checks if Equals returns false. In that case if someone added a public writable property but forgot to use check it in Equals the test would fail.