theorem vri_consistency_test
(T χ₁ χ₂ σ_sq₁ σ_sq₂ : ℝ)
(hχ₁ : 0 < χ₁) (hχ₂ : 0 < χ₂)
(hvri₁ : σ_sq₁ = T * χ₁) (hvri₂ : σ_sq₂ = T * χ₂) :
σ_sq₁ / χ₁ = σ_sq₂ / χ₂ := by
rw [hvri₁, hvri₂]
field_simp## Theorem 3b.2: Weighted VRI (merged from WeightedVRI.lean)