Theorems · Theorem · group theory
Matrix.SpecialLinearGroup.det_coe
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R]
(A : Matrix.SpecialLinearGroup n R), (↑A).det = 1- Cited by
- 12 results in Mathlib
- Foundations
- Depth 88 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Matrix.detstatement · cited by 665
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
Cited by12
Results whose statement or proof uses this declaration.
- Matrix.SpecialLinearGroup.isCoprime_rowproof · cited by 2
- EisensteinSeries.D2_mulproof · cited by 2
- ModularGroup.exists_bound_of_invariant_of_isBigOproof · cited by 2
- ModularGroup.smul_eq_lcRow0_addproof · cited by 1
- ModularGroup.tendsto_lcRow0proof · cited by 1
- Matrix.SpecialLinearGroup.range_toGLproof · cited by 1
- Matrix.SpecialLinearGroup.lineStab_fix_of_spanproof · cited by 1
- Matrix.SpecialLinearGroup.det_ne_zeroproof · cited by 1
- ModularGroup.exists_eq_T_zpow_of_c_eq_zeroproof · cited by 0
- Matrix.SpecialLinearGroup.isCoprime_colproof · cited by 0
- ModularGroup.g_eq_of_c_eq_oneproof · cited by 0
- ModularGroup.det_coeproof · cited by 0