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theorem

reparam_coefficients_obstruct_degree_two

proved
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module
IndisputableMonolith.Foundation.LogicAsFunctionalEquation.AnalyticCounterexample
domain
Foundation
line
52 · github
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IndisputableMonolith.Foundation.LogicAsFunctionalEquation.AnalyticCounterexample on GitHub at line 52.

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formal source

  49
  50/-- Equivalently, no coefficient `c` makes
  51`4s + 18s^2 + 16s^3 + 4s^4 = 4(s+s^2) + c(s+s^2)^2` as a function of `s`. -/
  52theorem reparam_coefficients_obstruct_degree_two
  53    (c : ℝ) :
  54    ¬ (∀ s : ℝ, reparamDiagonal s = degreeTwoDiagonal c s) := by
  55  intro h
  56  exact reparam_diagonal_not_degree_two ⟨c, h⟩
  57
  58end LogicAsFunctionalEquation
  59end Foundation
  60end IndisputableMonolith