theorem 25.19 Hamilton's equations from the first-order action

Rests on

• depends_on equation 25.20 eq:pq-phase-space-action ¶
• depends_on lemma 16.18 Fundamental lemma ¶
  • depends_on definition 16.15 Variation; the first variation ¶
    • depends_on definition 16.11 Admissible class; functional ¶
      • depends_on definition 7.98 Functions of class $C^{1}$ ¶
        • depends_on definition 7.20 Continuity at a point ¶
        • depends_on definition 7.97 Partial derivative; gradient ¶
      • 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 equation 7.177 eq:ana-functional-derivative ¶
  • depends_on theorem 7.40 Continuous functions are integrable ¶ ↺
  • proves proof ch:14-calculus-of-variations@proof-8 ¶
• proves proof ch:08-poisson-quantum-bridge@proof-8 ¶

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