This operator is represented by the keyword "implies" and is used to express a conditional relationship between two Boolean expressions. The expression "a implies b" is true if either a is false or b is true (or both). In other words, if a is true, then b must also be true for the entire expression to be true. If a is false, then the expression is automatically true regardless of the value of b. For example, "if it's raining (a), then I will bring an umbrella (b)" can be expressed as "a implies b" in OCL.

The "Implies" operator evaluates to true if its first operand is false or its second operand is true, and false otherwise.

Examples:

1. Suppose we have a class called Product with two attributes: name and price. We want to define a constraint that requires the price attribute to be greater than zero if the name attribute is not null. The OCL expression for this constraint would be:

context Product

self.name = null implies self.price <= 0

This constraint specifies that if the name attribute of a product object is null, then its price attribute must be less than or equal to zero (i.e., negative or zero prices are not allowed). If the name attribute is not null, then the constraint does not impose any restriction on the value of the price attribute.

2. Consider a class called Order with two attributes total_amount and discount_rate. We want to define an operation that calculates the discounted amount of an order, which is the product of its total amount and the discount rate. However, if the discount rate is null or negative, then no discount should be applied and the discounted amount should be equal to the total amount. The OCL expression for this operation would be:

context Order

discounted_amount = if self.discount_rate <= 0 or self.discount_rate = null then 
                        self.total_amount
                    else 
                        self.total_amount * self.discount_rate
                    endif

This expression uses the "Implies" operator in combination with the "if-then-else" control structure to specify the calculation of the discounted amount based on the value of the discount_rate attribute. If the discount_rate is null or negative, then the "Implies" operator ensures that the "discounted_amount" variable is set to the total_amount attribute, without attempting to multiply it by the discount rate.