Quad Int — complex image
ProvedD1Bound5.QuadInt.complex_imagediophantine-tuplesnumber-theory
The image of an arbitrary coordinate element under a complex ring map.
Preamble
import Mathlib.Algebra.QuadraticAlgebra.Basic import Mathlib.Analysis.Complex.Norm import Mathlib.Tactic.Linarith import Mathlib.Tactic.LinearCombination import Definitions.Def_D1Bound5_Coordinates_Definitions
Formal statement
section
namespace D1Bound5.QuadInt
open scoped QuadraticAlgebra
variable {tau nu : ℤ}
theorem _root_.D1Bound5.QuadInt.complex_image (f : QuadInt tau nu →+* ℂ) (z : QuadInt tau nu) :
f z = (z.re : ℂ)+(z.im : ℂ)*f QuadraticAlgebra.omega := by sorry
end D1Bound5.QuadInt
end
Source
D1Bound5/ComplexCoordinates.lean, lines 11-18, SHA-256 1683447b1e232bc1f4d7a3f22a33ac3030c9c47df02e5a5ff8d90857c32c1858. Project: https://github.com/tomislav-math/d1-bound5-lean