No, the Mensheviks were led mostly by Jules Martov. Trotsky was part of the Menshevik faction and one of its best theoreticians, but he wasn't their leader. Shortly before the October Revolution, Trotsky left the Mensheviks and joined the Bolsheviks.
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During the period of War Communism in the new Soviet Union, Leon Trotsky used the forum of the Third Congress of Trade Unions to justify the military tactics used against industrial workers. He attacked the Menshevik idea that such force and compulsion was counter productive and clearly an anti labor position by the Communists. Trotsky claimed that to move forward with the "revolution" that workers who did not cooperate would face military "justice". The Mensheviks were appalled at this.
Leon Trotsky was murdered in 1940.
Leon Trotsky, being a true Marxist, took on the Menshevik view that a bourgeoisie revolution must replace the Czar. The Bolsheviks disagreed with this. Also, at the time, Trotsky was not in favor of what he saw as a ruthless organization that placed the Bolshevik Party above the workers. He held these views for a long time before changing them.
Jules Martov led the Mensheviks (:
Trotsky was murdered in Mexico.