Half Binomial Coeff abs le half

import Mathlib.Algebra.BigOperators.NatAntidiagonal
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Normed.Ring.Basic
import Mathlib.Analysis.SpecificLimits.Normed
import Mathlib.Data.Sym.Basic
import Mathlib.Data.Sym.Card
import Mathlib.RingTheory.Binomial
import Mathlib.RingTheory.MvPolynomial.Symmetric.Defs
import Definitions.Def_D1Bound5_HalfBinomialCoefficients_Definitions

section
open Finset

namespace D1Bound5












theorem _root_.D1Bound5.halfBinomialCoeff_abs_le_half (n : ℕ) (hn : 1 ≤ n) :
    |halfBinomialCoeff n| ≤ (1 / 2 : ℝ) := by sorry





end D1Bound5
end