-----Description----- 
This task requires writing a Lean 4 method that determines the minimum of two integers. The method should return the smaller of the two numbers. When both numbers are equal, either one may be returned.

-----Input-----
The input consists of two integers:
a: The first integer.
b: The second integer.

-----Output-----
The output is an integer:
Returns the smaller value between the input integers, ensuring that the result is less than or equal to both inputs.