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lemma proved term proof

coeffAt_add

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formal statement (Lean)

  67lemma coeffAt_add {N : ℕ} (u v : GalerkinState N) (k : Mode2) (j : Fin 2) :
  68    coeffAt (u + v) k j = coeffAt u k j + coeffAt v k j := by

proof body

Term-mode proof.

  69  classical
  70  by_cases hk : k ∈ modes N
  71  · simp [coeffAt, hk]
  72  · simp [coeffAt, hk]
  73

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depends on (4)

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