Theorems · Theorem · group theory

Matrix.ProjGenLinGroup.val_signDet_mk

∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R]
  [inst_3 : Fact (Even (Fintype.card n))] [inst_4 : LinearOrder R] [inst_5 : IsStrictOrderedRing R] (g : GL n R),
  ↑(Matrix.ProjGenLinGroup.signDet (Matrix.ProjGenLinGroup.mk g)) = SignType.sign ↑(Matrix.GeneralLinearGroup.det g)

Defined in: Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Projective
Cited by: 0 results in Mathlib
Foundations: Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fintype DecidableEq CommRing Fact LinearOrder IsStrictOrderedRing

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites20

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement and proof · cited by 62,936
CommRingstatement and proof · cited by 17,173
LinearOrderstatement and proof · cited by 8,572
Fintypestatement and proof · cited by 7,736
Matrixstatement · cited by 4,303
MonoidHomstatement · cited by 3,629
Unitsstatement · cited by 2,804
Factstatement and proof · cited by 2,726
IsStrictOrderedRingstatement and proof · cited by 2,490
Units.valstatement and proof · cited by 1,966
Fintype.cardstatement and proof · cited by 1,386
OrderHomstatement · cited by 934

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.