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theorem proved term proof

PApply_add

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formal statement (Lean)

 138theorem PApply_add {n : ℕ}
 139    (lam : ℝ) (hInv : Fin n → Fin n → ℝ) (β : Vec n)
 140    (v w : Vec n) :
 141    PApply lam hInv β (v + w) = PApply lam hInv β v + PApply lam hInv β w := by

proof body

Term-mode proof.

 142  ext i
 143  simp [PApply, AApply_add]
 144  ring
 145

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