Theorems · Theorem · group theory
Matrix.GeneralLinearGroup.det_surjective
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] [Nonempty n],
Function.Surjective ⇑Matrix.GeneralLinearGroup.det- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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
- Matrixstatement · cited by 4,303
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- Finset.univproof · cited by 3,473
- one_mulproof · cited by 2,841
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- Matrix.detproof · cited by 665
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.ProjectiveSpecialLinearGroup.toPGL_surj_iffproof · cited by 0