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lemma proved term proof

extendByZero_neg

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formal statement (Lean)

  95lemma extendByZero_neg {N : ℕ} (u : GalerkinState N) :
  96    extendByZero (-u) = -extendByZero u := by

proof body

Term-mode proof.

  97  classical
  98  -- `-u = (-1) • u` and `extendByZero` is linear.
  99  simpa [neg_one_smul] using (extendByZero_smul (N := N) (-1) u)
 100
 101/-- `extendByZero` packaged as a linear map. -/

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depends on (10)

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