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lemma proved term proof

extendByZero_add

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formal statement (Lean)

  81lemma extendByZero_add {N : ℕ} (u v : GalerkinState N) :
  82    extendByZero (u + v) = extendByZero u + extendByZero v := by

proof body

Term-mode proof.

  83  classical
  84  funext k
  85  ext j
  86  fin_cases j <;> simp [extendByZero, coeffAt_add]
  87

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