Take the following as truth: To the northwest of the chateau, the Grand Trianon palace, surrounded by pleasantly unpompous gardens, was the home of Louis XIV's mistress, Madame de Maintenon, where the aging king increasingly took refuge.
Then the following statement: "Madame de Maintenon used to be Louis XIV's mistress when he was of an advanced age." is true, false, or inconclusive?