Theorems · Theorem · group theory

Matrix.ProjGenLinGroup.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) = (Units.map ↑signHom) (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

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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
Fintype.cardstatement and proof · cited by 1,386
Matrix.GeneralLinearGroupstatement and proof · cited by 556
Evenstatement and proof · cited by 444

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