Pair Light Prepared24 — left checked
ProvedD1Bound5.PairLightPrepared24.left_checkeddiophantine-tuplesnumber-theory
Auxiliary result PairLightPrepared24.left_checked 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.List.Basic 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_Coordinates_Definitions import Definitions.Def_D1Bound5_PairBipartiteCheck_Definitions import Definitions.Def_D1Bound5_SmallPairGraphInputs24_Definitions_003 import Definitions.Def_D1Bound5_SmallPairGraphInputs24_Definitions_004 import Definitions.Def_D1Bound5_SmallPairSieve_1_1_Definitions
Formal statement
section
namespace D1Bound5.PairLightPrepared24
set_option maxRecDepth 100000
set_option maxHeartbeats 0
theorem _root_.D1Bound5.PairLightPrepared24.left_checked :
pairIndependentBool smallPairSieve_1_1 (pairSplitByMask smallPairLarge_24 PairGraphPrepared24.colors).1 = true := by sorry
end D1Bound5.PairLightPrepared24
end
Source
D1Bound5/SmallPairLightAssembly24.lean, lines 24-29, SHA-256 5d6d18f9f1f129e5028b73c72098f606d4d4c2a27b0cd91b2ca88e200d120df8. Project: https://github.com/tomislav-math/d1-bound5-lean