Theorems · Theorem · group theory
Matrix.ProjectiveSpecialLinearGroup.toPGL_surj_iff
∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R] [Nonempty n],
Function.Surjective ⇑Matrix.ProjectiveSpecialLinearGroup.toPGL ↔ ∀ (r : Rˣ), ∃ k, k ^ Fintype.card n = r- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- one_mulproof · cited by 2,841
- Unitsstatement and proof · cited by 2,804
- Fintype.cardstatement and proof · cited by 1,386
- map_mulproof · cited by 1,137
- Matrix.GeneralLinearGroupproof · cited by 556
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- QuotientGroup.mkproof · cited by 196
- Subgroup.centerstatement · cited by 121
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.