Theorems · Theorem · group theory
Matrix.SpecialLinearGroup.toGL_injective
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R],
Function.Injective ⇑Matrix.SpecialLinearGroup.toGL- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 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.
Cites10
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
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- MonoidHomstatement · cited by 3,629
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Matrix.SpecialLinearGroup.toGLstatement · cited by 64
- Matrix.adjugateproof · cited by 64
- Units.mk.injEqproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.SpecialLinearGroup.isEmbedding_toGLproof · cited by 2
- Matrix.SpecialLinearGroup.toGL_injproof · cited by 0
- CongruenceSubgroup.conjGL_coeproof · cited by 0