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def definition def or abbrev

coeffAt

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formal statement (Lean)

  46noncomputable def coeffAt {N : ℕ} (u : GalerkinState N) (k : Mode2) (j : Fin 2) : ℝ :=

proof body

Definition body.

  47  if hk : k ∈ modes N then
  48    -- `k` as an element of the finite index type `(modes N)`
  49    let k' : (modes N) := ⟨k, hk⟩
  50    u (k', j)
  51  else
  52    0
  53
  54/-- Extend a truncated Galerkin state by zero to a full Fourier coefficient state. -/

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