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What has a higher source is lower in this world. (Likutei Torah 2:34c) And so the Maharal, upon whom much of Chabad is based, says repeatedly that women are on a lower level in this world. See Maharal: Chidushei Agados, Makos 23b; Chidushei Agados, Nidah 45b; Derech Chaim 1:5; Derech Chaim 2:9;Gur Aryeh, beginning of parshas tazriah; Tiferes Yisrael 28; Tiferes Yisrael 4.  For example, Tiferes Yisrael 28: "The woman is more physical and her level is not as high as is the man’s. Therefore Adam HaRishon was commanded first since he was closer to Hashem. The woman’s greater distance from Hashem led to her initiation of the first sin and destruction upon the world. " He says also men excel in Chochmah and women in Binah. But the Tanya taught that Chochmah is higher than Binah. (Today's Tanya Lesson, Shevat 10, 5779 · January 16, 2019, Likutei Amarim, Chapter 19)