Small Pair Pilot Trace Zero No Triangle 41 checked
ProvedD1Bound5.smallPairPilotTraceZeroNoTriangle_41_checkeddiophantine-tuplesnumber-theory
The original triangle predicate, obtained from the actual arithmetic no-three theorem and the linear trace-coordinate certificate.
Preamble
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_SmallPairBipartitePilotData41_Definitions import Definitions.Def_D1Bound5_SmallPairGraphCheck_Definitions import Definitions.Def_D1Bound5_SmallPairSieve_1_2_Definitions
Formal statement
section
namespace D1Bound5
set_option maxRecDepth 100000
set_option maxHeartbeats 0
theorem _root_.D1Bound5.smallPairPilotTraceZeroNoTriangle_41_checked :
pairGraphTriangleFreeBool smallPairSieve_1_2 smallPairPilotLarge_41 = true := by sorry
end D1Bound5
end
Source
D1Bound5/SmallPairTraceZeroPilot41.lean, lines 15-21, SHA-256 5873e50be7d81103b7dc1e77ba68f8e8b774645e2c18a7075508d07bfc9ad4c6. Project: https://github.com/tomislav-math/d1-bound5-lean