Pair Witness Candidate Covered Bool of indexed checked

import Mathlib.Algebra.QuadraticAlgebra.Basic
import Mathlib.Algebra.Ring.Basic
import Mathlib.Algebra.Ring.Equiv
import Mathlib.Data.Finset.Card
import Mathlib.Data.Finset.Prod
import Mathlib.Data.Int.Interval
import Mathlib.Data.Int.Sqrt
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.LinearCombination
import Definitions.Def_D1Bound5_Coordinates_Definitions
import Definitions.Def_D1Bound5_PairClosureIndexedWitness_Definitions
import Definitions.Def_D1Bound5_PairClosureWitness_Definitions

section
namespace D1Bound5
open QuadInt










theorem _root_.D1Bound5.pairWitnessCandidateCoveredBool_of_indexed_checked {tau nu : ℤ}
    (bound : ℤ) (vertices : List (QuadInt tau nu)) (w : QuadInt tau nu)
    (destination : Option Nat)
    (hcheck : pairIndexedCandidateCoveredBool bound vertices w destination = true) :
    pairWitnessCandidateCoveredBool bound vertices w = true := by sorry









end D1Bound5
end