Gradient Orthogonal To One Perp

Documentation

Lean 4 Proof

theorem gradient_orthogonal_to_onePerp
    (v : Fin J → ℝ) (hv : orthToOne J v) :
    ∑ j : Fin J, (1 / (↑J : ℝ)) * v j = 0 := by
  rw [← Finset.mul_sum]
  simp only [orthToOne, vecSum] at hv
  rw [hv, mul_zero]

Dependency Graph

Module Section

CES Estimation Theory: Connecting Theory to Data