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Douglas Harper's Etymology Dictionary
mens sana in corpore sano

c.1600, Latin, literally "a sound mind in a sound body," a line found in Juvenal, "Satires," x.356.\n\nMens sana in corpore sano is a contradiction in terms, the fantasy of a Mr. Have-your-cake-and-eat-it. No sane man can afford to dispense with debilitating pleasures; no ascetic can be considered reliably sane. Hitler was the archetype of the abstemious man. When the other krauts saw him drink water in the Beer Hall they should have known he was not to be trusted.

[A.J. Liebling, "Between Meals," 1962]

Wikipedia
Mens sana in corpore sano

Mens sana in corpore sano is a Latin phrase, usually translated as "a sound mind in a sound body" or "a healthy mind in a healthy body".

In the western world, the phrase is widely used in sporting and educational contexts to express the theory that physical exercise is an important or essential part of mental and psychological well-being.