Implementing a "Not" Trait for Boolean Logic in Rust

Rust's trait system is powerful for defining shared behavior. Often, we want to implement traits for types that represent some concept. This challenge focuses on implementing a trait for a type in a way that signifies the opposite of a standard behavior, specifically for boolean negation. Understanding how to achieve this "negative" implementation is crucial for designing flexible and expressive APIs.

Problem Description

Your task is to create a custom trait named Not. This trait will be implemented for boolean types (like bool) and will provide a method, not(), that performs logical negation. The key challenge is to understand how to define and implement such a trait where the implementation represents the inverse of the underlying operation.

What needs to be achieved:

• Define a trait Not with a single method not().
• Implement this Not trait for the standard bool type.
• The not() method for bool should return the logical negation of the boolean value it's called on.

Key requirements:

• The trait should be named Not.
• The trait should have a method named not() that takes &self and returns a Self.
• The implementation for bool must correctly negate the value.

Expected behavior:

• Calling true.not() should return false.
• Calling false.not() should return true.

Important edge cases to consider:

• None specifically, as bool is a simple type with only two states. The focus is on the trait implementation pattern.

Examples

Example 1:

Input: A boolean value `true`
Output: `false`
Explanation: The `not()` method is called on `true`, and logical negation results in `false`.

Example 2:

Input: A boolean value `false`
Output: `true`
Explanation: The `not()` method is called on `false`, and logical negation results in `true`.

Constraints

• The solution must be written in Rust.
• You should define your own Not trait and implement it for bool.
• Avoid using the built-in ! operator for the not() method's implementation, as the goal is to demonstrate creating this behavior through a custom trait. You can use it to verify your implementation, but not as your implementation.

Notes

This challenge encourages you to think about how to model concepts like negation or opposition using Rust's trait system. While the standard library already provides logical negation for bool via the ! operator, this exercise helps you practice defining custom traits and implementing them for existing types to build your own abstractions. Consider how this pattern could be extended to other types or more complex operations.