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theorem proved term proof

FApply_MetallicApply

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formal statement (Lean)

 238theorem FApply_MetallicApply {n : ℕ}
 239    (p q lam : ℝ) (hInv : Fin n → Fin n → ℝ) (β : Vec n)
 240    (hμ : mu lam hInv β ≠ 0) (v : Vec n) :
 241    FApply lam hInv β (MetallicApply p q lam hInv β v)
 242      = (p / 2) • FApply lam hInv β v
 243        + (Real.sqrt (p ^ 2 + 4 * q) / 2) • v := by

proof body

Term-mode proof.

 244  unfold MetallicApply
 245  rw [FApply_add, FApply_smul, FApply_smul, FApply_square _ _ _ hμ]
 246

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