theorem A.756 The Korteweg–de Vries equation

open in the book · appendices/A-long-proofs.tex:36818 · p. 3162

Rests on

depends_on equation A.1227 eq:app-fluid-kdv-balance ¶
depends_on proposition A.755 The Boussinesq pair ¶
- depends_on equation A.1225 eq:app-fluid-kdv-nd-kin ¶
- depends_on lemma A.754 Exact depth expansion ¶
  - depends_on equation A.1224 eq:app-fluid-kdv-nd-laplace ¶
  - depends_on theorem 7.38 Taylor's theorem with Lagrange remainder ¶
    - depends_on proposition 7.30 Leibniz rule ¶
      - depends_on definition 7.12 Product of functions ¶
      - depends_on equation 7.14 eq:ana-derivh ¶
      - depends_on proposition 7.27 Differentiable implies continuous ¶
      - depends_on proposition 7.6 Algebra of limits ¶
      - proves proof ch:05-real-analysis@proof-14 ¶
    - depends_on theorem 7.34 Rolle ¶
      - depends_on lemma 7.33 Fermat: interior extremum ¶
      - depends_on theorem 7.24 Extreme value theorem ¶
      - proves proof ch:05-real-analysis@proof-18 ¶
    - proves proof ch:05-real-analysis@proof-22 ¶
  - proves proof app:A-long-proofs@proof-440 ¶
- proves proof app:A-long-proofs@proof-441 ¶
proves proof app:A-long-proofs@proof-442 ¶

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type	direction	node	provenance	where
`depends_on`	→	eq:app-fluid-kdv-balance	declared	appendices/A-long-proofs.tex:36842
`depends_on`	→	The Boussinesq pair	declared	appendices/A-long-proofs.tex:36842
`proves`	←	app:A-long-proofs@proof-442	declared	appendices/A-long-proofs.tex:36845