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Likutei Sichos vol. 31 page 28 ff.

In contrast to the convention that there are two successive stages to the Pharaoh’s stubbornness; one where he is stubborn on his own and another where Hashem makes him stubborn. The Rebbe proves that: 1) The two levels of the Pharaoh’s stubbornness are simultaneous and last for the duration of all ten Makkos beginning with…