Theorems · Theorem · group theory
Matrix.GLPos.det_ne_zero
∀ {n : Type u} {R : Type v} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : CommRing R] [inst_3 : LinearOrder R]
[inst_4 : IsStrictOrderedRing R] (A : ↥(Matrix.GLPos n R)), (↑↑A).det ≠ 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Subgroupstatement · cited by 3,593
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Units.valstatement · cited by 1,966
- Matrix.detstatement · cited by 665
- ne_of_gtproof · cited by 637
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Subtype.propproof · cited by 505
- Matrix.GLPosstatement and proof · cited by 16
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