Pair Light Selected Mask Reject Bool eq raw
ProvedD1Bound5.pairLightSelectedMaskRejectBool_eq_rawdiophantine-tuplesnumber-theory
Auxiliary result pairLightSelectedMaskRejectBool_eq_raw in the proof of the bound five for Diophantine D(1) sets in imaginary quadratic integer rings. The formal statement specifies its hypotheses and conclusion; a mathematical prose description remains to be supplied.
Preamble
import Init import Mathlib.Algebra.Order.Ring.Abs import Mathlib.Algebra.QuadraticAlgebra.Basic import Mathlib.Algebra.Ring.Basic import Mathlib.Algebra.Ring.Equiv import Mathlib.Analysis.Complex.Basic import Mathlib.Analysis.Complex.Norm import Mathlib.Analysis.Complex.Polynomial.Basic import Mathlib.Data.Finset.Card import Mathlib.Data.Finset.Prod import Mathlib.Data.Int.GCD import Mathlib.Data.Int.Interval import Mathlib.Data.Int.Sqrt import Mathlib.Data.ZMod.Basic import Mathlib.LinearAlgebra.Dimension.Free import Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex import Mathlib.NumberTheory.NumberField.Norm import Mathlib.Tactic.FieldSimp import Mathlib.Tactic.Linarith import Mathlib.Tactic.LinearCombination import Mathlib.Tactic.Ring import Definitions.Def_D1Bound5_PairLightArithmetic_Definitions import Definitions.Def_D1Bound5_PairRawSelectedFloorWitnesses_Definitions
Formal statement
section
namespace D1Bound5
theorem _root_.D1Bound5.pairLightSelectedMaskRejectBool_eq_raw (tau nu : ℤ) (sieve : List (ℕ × ℕ))
(xs ys : PairLightSignature) (i : ℕ) :
pairLightSelectedMaskRejectBool tau nu sieve xs ys i =
pairSelectedCachedMaskNatRejectBool tau nu sieve xs ys i := by sorry
end D1Bound5
end
Source
D1Bound5/PairLightArithmeticBridge.lean, lines 77-87, SHA-256 3dadaaf272e22eafa7a7c7429a48fe42dbe591d0dcb73ce8b0f98f6b348b8e51. Project: https://github.com/tomislav-math/d1-bound5-lean