Theorems · Theorem · group theory
Matrix.SpecialLinearGroup.eq_scalar_center_equiv_rootsOfUnity
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R]
(A : ↥(Subgroup.center (Matrix.SpecialLinearGroup n R))),
↑↑A = (Matrix.scalar n) ↑↑(Matrix.SpecialLinearGroup.center_equiv_rootsOfUnity A)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Fintype.cardstatement and proof · cited by 1,386
- MulEquivstatement · cited by 1,142
- IsEmptyproof · cited by 759
- Matrix.detstatement · cited by 665
Cited by1
Results whose statement or proof uses this declaration.