Theorems · Theorem · group theory
Matrix.ProjectiveSpecialLinearGroup.toPGL_surj_of_roots
∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R],
(∀ (r : Rˣ), ∃ k, k ^ Fintype.card n = r) → Function.Surjective ⇑Matrix.ProjectiveSpecialLinearGroup.toPGL- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqCommRing
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
- Fintypestatement and proof · cited by 7,736
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- Fintype.cardstatement and proof · cited by 1,386
- Matrix.GeneralLinearGroupproof · cited by 556
- Matrix.SpecialLinearGroupstatement · cited by 348
- Matrix.diagonalproof · cited by 314
- QuotientGroup.mkproof · cited by 196
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.ProjectiveSpecialLinearGroup.toPGL_surj_iffproof · cited by 0