The letter is addressed to 'Aux Etudiants de l'Universite de Edimbourg', and begins 'Chers Messieurs, Je vous suis bien reconnaissant pour votre proposition si innatendue et si flatteuse: de poser ma candidature pour le Rectorat de votre Universite...' The letter is dated 'le 7 juin 1935', and was sent to Mr. R. N. Levitt, Edinburgh.
The gist of the letter is that Trotsky was unable to accept the invitation to stand in the election.
The letter is signed with a flourished though faded 'L. Trotsky'.