Theorems · Theorem · group theory
Matrix.SpecialLinearGroup.coe_to_GLPos_to_GL_det
∀ {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] (g : Matrix.SpecialLinearGroup n R),
Matrix.GeneralLinearGroup.det ↑(Matrix.SpecialLinearGroup.toGLPos g) = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Unitsstatement · cited by 2,804
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Matrix.GeneralLinearGroupstatement · cited by 556
- Subtype.propproof · cited by 505
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
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