openAI-math-dataset / lean /OAI /NumberTheory /TwoPoint /Walks /BlockTestNormalization.lean
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import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Tactic
namespace OAI
/-! Separate the retained block test's main term from its exceptional
fraction before applying the boundary-error estimate. -/
namespace TwoPointCorrelations
lemma block_test_normalization (L K T G R S M l δ : ℝ)
(hL : L ≠ 0) (hM : M ≠ 0) :
l * ((3 * R) * (l * (2 * M * S)) + (M * (2 * K * T) * G) * δ) /
(2 * L * M) =
3 * l ^ 2 * S * R / L + l * (K / L * G * T) * δ := by
field_simp
end TwoPointCorrelations
end OAI