remark 22.23 What the invariant does not depend on

Rests on

• depends_on theorem 22.22 Poincaré ¶
  • depends_on definition 7.125 Multiple integral ¶
    • depends_on axiom 7.1 Completeness of $\R$ ¶
    • depends_on definition 7.39 Darboux sums and the definite integral ¶
      • depends_on axiom 7.1 Completeness of $\R$ ¶ ↺
  • depends_on lemma 22.20 The symplectic condition ¶
    • depends_on definition 5.135 The symplectic group ¶
      • depends_on definition 5.113 Non-degenerate form ¶
        • depends_on definition 5.110 Bilinear map ¶
      • depends_on equation 5.138 eq:lin-bilinear-expansion ¶
      • depends_on proposition 5.119 Normal form of a non-degenerate antisymmetric form ¶
        • depends_on definition 5.110 Bilinear map ¶ ↺
        • depends_on definition 5.113 Non-degenerate form ¶ ↺
        • depends_on definition 5.111 Symmetric and antisymmetric forms ¶
        • depends_on equation 5.139 eq:lin-bilinear-congruence ¶
        • proves proof ch:03-linear-algebra-representations@proof-54 ¶
    • depends_on equation 22.18 eq:ham-generating ¶
    • depends_on proposition 7.105 Clairaut–Schwarz ¶
      • depends_on definition 7.20 Continuity at a point ¶
        • depends_on definition 7.16 Limit ¶
        • depends_on equation 7.7 eq:ana-limit-left ¶
        • depends_on equation 7.5 eq:ana-limit-right ¶
      • depends_on theorem 7.35 Mean value theorem ¶
        • depends_on proposition 7.29 Linearity ¶
        • depends_on theorem 7.34 Rolle ¶
        • proves proof ch:05-real-analysis@proof-19 ¶
      • proves proof ch:05-real-analysis@proof-64 ¶
    • proves proof ch:05-hamiltonian-mechanics@proof-7 ¶
  • proves proof ch:05-hamiltonian-mechanics@proof-9 ¶

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