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</span>Structures", "<span class=\"section-number\">7. </span>Hierarchies", "<span class=\"section-number\">8. </span>Groups and Rings", "<span class=\"section-number\">9. </span>Topology", "<span class=\"section-number\">10. </span>Differential Calculus", "<span class=\"section-number\">11. </span>Integration and Measure Theory", "Index", "Mathematics in Lean"], "titleterms": {"The": [2, 3], "about": 1, "action": 7, "algebra": [1, 5, 7], "appli": 1, "asymptot": 9, "ball": 8, "basic": [1, 6], "bernstein": 3, "build": 5, "calcul": 1, "calculu": 9, "close": 8, "compact": 8, "comparison": 9, "complet": 8, "concret": 7, "conjunct": 2, "continu": [8, 9], "converg": [2, 8], "countabl": 8, "defin": 5, "differenti": 9, "disjunct": 2, "elementari": [4, 9, 10], "exampl": 1, "existenti": 2, "fact": 1, "filter": 8, "function": [3, 8], "fundament": 8, "gaussian": 5, "get": 0, "group": 7, "hierarchi": 6, "ideal": 7, "ident": 1, "iff": 2, "implic": 2, "index": 11, "induct": 4, "infinit": 4, "integ": 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