Theorems · Theorem · group theory
Matrix.SpecialLinearGroup.ext
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R]
(A B : Matrix.SpecialLinearGroup n R), (∀ (i j : n), ↑A i j = ↑B i j) → A = B- Cited by
- 8 results in Mathlib
- Foundations
- Depth 89 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.
Cites6
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
- Matrix.SpecialLinearGroup.ext_iffproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- Matrix.SL2.transvection_inductionproof · cited by 2
- Matrix.SpecialLinearGroup.diag_commuteproof · cited by 2
- Matrix.SpecialLinearGroup.transvection_coeff_zeroproof · cited by 1
- Matrix.diag2_decomposeproof · cited by 1
- ModularGroup.exists_eq_T_zpow_of_c_eq_zeroproof · cited by 0
- ModularGroup.coe_injproof · cited by 0
- Matrix.SpecialLinearGroup.SL2_inv_explproof · cited by 0
- ModularGroup.T_S_relproof · cited by 0