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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:

def check_dict_case(dict):
    """ Given a dictionary, return True if all keys are strings in lower case or all keys are strings in upper case, else return False. The function should return False is the given dictionary is empty. """
    if len(dict.keys()) == 0:
        return False
    else:
        state = "start"
        for key in dict.keys():

            if isinstance(key, str) == False:
                state = "mixed"
                break
            if state == "start":
                if key.isupper():
                    state = "upper"
                elif key.islower():
                    state = "lower"
                else:
                    break
            elif (state == "upper" and not key.isupper()) or (state == "lower" and not key.islower()):
                    state = "mixed"
                    break
            else:
                break
        return state == "upper" or state == "lower" 
