Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_13325 ( "Rank" real, "Team" text, "Men's" real, "Women's" real, "Total" real )

### Question ###
what is the average women's when men's is less than 113, the team is ue red warriors and the rank is higher than 6?

### Accurate SQL ###

SELECT AVG("Women's") FROM table_13325 WHERE "Men's" < '113' AND "Team" = 'ue red warriors' AND "Rank" > '6'