theorem 8.13 Goursat

Rests on

• depends_on equation 8.4 eq:cpx-derivative ¶
• depends_on lemma 8.9 ML estimate ¶
  • depends_on equation 8.6 eq:cpx-contour-integral ¶
  • proves proof ch:06-complex-analysis@proof-4 ¶
• depends_on proposition 8.10 Fundamental theorem for contours ¶
  • depends_on equation 8.6 eq:cpx-contour-integral ¶ ↺
  • depends_on theorem 7.43 Fundamental theorem of calculus, II ¶
    • depends_on definition 7.41 Antiderivative ¶
      • depends_on corollary 7.36 cor:ana-mvt-consequences ¶
        • depends_on theorem 7.35 Mean value theorem ¶
        • proves proof ch:05-real-analysis@proof-20 ¶
      • depends_on definition 7.26 Derivative of a function at a point ¶
        • depends_on definition 7.16 Limit ¶
        • depends_on definition 7.9 Real function ¶
    • depends_on theorem 7.42 Fundamental theorem of calculus, I ¶
      • depends_on definition 7.26 Derivative of a function at a point ¶ ↺
      • depends_on theorem 7.40 Continuous functions are integrable ¶
        • depends_on definition 7.39 Darboux sums and the definite integral ¶
        • depends_on theorem 7.24 Extreme value theorem ¶
        • depends_on theorem 7.25 Heine–Cantor: uniform continuity ¶
        • proves proof ch:05-real-analysis@proof-23 ¶
      • depends_on theorem 7.24 Extreme value theorem ¶ ↺
      • proves proof ch:05-real-analysis@proof-24 ¶
    • proves proof ch:05-real-analysis@proof-25 ¶
  • proves proof ch:06-complex-analysis@proof-5 ¶
• proves proof ch:06-complex-analysis@proof-8 ¶

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