Finite PDivided Matrix det
ProvedD1Bound5.finitePDividedMatrix_detdiophantine-tuplesnumber-theory
Exact determinant from the displayed integer polynomials. No rank or leading-coefficient certificate is assumed.
Preamble
import Mathlib.Algebra.BigOperators.Fin import Mathlib.LinearAlgebra.Matrix.Determinant.Basic import Mathlib.LinearAlgebra.Matrix.NonsingularInverse import Mathlib.Tactic.FinCases import Mathlib.Tactic.NormNum import Mathlib.Tactic.Ring import Definitions.Def_D1Bound5_FinitePMatrix_Definitions
Formal statement
section
namespace D1Bound5
variable {R : Type*} [CommRing R]
set_option maxHeartbeats 4000000 in
theorem _root_.D1Bound5.finitePDividedMatrix_det (a b s c : R) :
(finitePDividedMatrix a b s c).det =
-78750*a*b*s*(a-b)^5*(a-s)*(b-s)*finitePDetFactor a b s c := by sorry
end D1Bound5
end
Source
D1Bound5/FinitePMatrix.lean, lines 72-90, SHA-256 b8a285016f4dd188b4ef52b0d947c0efaeb78e66205e2d778d4892467773abcd. Project: https://github.com/tomislav-math/d1-bound5-lean