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lemma proved term proof

coeffAt_smul

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formal statement (Lean)

  74lemma coeffAt_smul {N : ℕ} (c : ℝ) (u : GalerkinState N) (k : Mode2) (j : Fin 2) :
  75    coeffAt (c • u) k j = c * coeffAt u k j := by

proof body

Term-mode proof.

  76  classical
  77  by_cases hk : k ∈ modes N
  78  · simp [coeffAt, hk]
  79  · simp [coeffAt, hk]
  80

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depends on (4)

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