Checking if a given string is in alphabetical order

I wrote this function to check if a given string is in alphabetic order. How can I improve?

def alphacheck(x):
    '''This function checks if a given string is in Alphabetical order'''

    # Creating a variable to allow me to efficiently index a string of any length
    i = len(x) - 1
    # Using a recursive formula and checking for the base case when the string is of less than one character
    if len(x) <= 1:
        return True
    # This the recursive portion of the formula
    else:
        # This code checks if the last two characters are in alphabetical order
        # By utilizing the property that the letters of the alphabet increase in "value" accroding to python
        if x[i - 1] <= x[i]:
            # I remove the last letter of the string to reduce the probelm size
            x = x[:i]
            # I then repeat this on the smaller string until it reaches the base case or
            # Finds out the string is not in alphabetical order and returns False
            return alphacheck(x)
        else:
            return False

Sorting is idempotent, sorting an already sorted list leaves it unchanged.

So checking if a list is ordered equals checking if it equals itself when sorted:

def is_sorted_alphabetically(string):
    return string == ''.join(sorted(string))

If you do not want to have a \$O(NlogN)\$ runtime of sorting or you want to implement this yourself without using the sorted built-in, I suggest you avoid recursion and use the all and pairwise helper functions:

def is_sorted(iterable):
    return all(x1 <= x2 for x1, x2 in pairwise(iterable))

This is general and works for any iterable such as string but also lists of numbers or lists of anything of comparable (the type is Iterable[Comparable] -> bool)

StackExchange Code Review Q#141725, answer score: 11