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theorem proved term proof

FApply_GApply

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formal statement (Lean)

 230theorem FApply_GApply {n : ℕ}
 231    (lam : ℝ) (hInv : Fin n → Fin n → ℝ) (β : Vec n)
 232    (hμ : mu lam hInv β ≠ 0) (v : Vec n) :
 233    FApply lam hInv β (GApply lam hInv β v)
 234      = ((1 : ℝ) / 2) • FApply lam hInv β v + (Real.sqrt 5 / 2) • v := by

proof body

Term-mode proof.

 235  unfold GApply
 236  rw [FApply_add, FApply_smul, FApply_smul, FApply_square _ _ _ hμ]
 237

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