Theorems · Theorem · group theory
Matrix.SpecialLinearGroup.coe_GLPos_neg
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] [inst_3 : LinearOrder R]
[inst_4 : IsStrictOrderedRing R] [inst_5 : Fact (Even (Fintype.card n))] (g : Matrix.SpecialLinearGroup n R),
Matrix.SpecialLinearGroup.toGLPos (-g) = -Matrix.SpecialLinearGroup.toGLPos g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- Subgroupstatement · cited by 3,593
- Factstatement and proof · cited by 2,726
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Fintype.cardstatement and proof · cited by 1,386
- Matrix.GeneralLinearGroupstatement · cited by 556
- Evenstatement and proof · cited by 444
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