precedent word

#include <stdio.h>
#include <stdbool.h>
#include <string.h>
#include <ctype.h>

bool precedence(char word1[46], char word2[46])
{
    int i = 0;
    while (word1[i] != '\0')
    {
        if ((int)tolower(word1[i]) == (int)tolower(word2[i]))
        {
            i++;
            // if strlen of word2 shorter than word1
            if (word2[i] == '\0')
                return false;
        }

        else if ((int)tolower(word1[i]) < (int)tolower(word2[i]))
        {
            return true;
        }

        return false;
    }
}