Theorems · Theorem · group theory
Matrix.isElliptic_neg_iff
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : Preorder R] {m : Matrix (Fin 2) (Fin 2) R},
(-m).IsElliptic ↔ m.IsElliptic- Cited by
- 3 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Preorderstatement and proof · cited by 7,952
- Matrixstatement and proof · cited by 4,303
- one_mulproof · cited by 2,841
- Matrix.detproof · cited by 665
- one_powproof · cited by 521
- Fintype.card_finproof · cited by 270
- Matrix.traceproof · cited by 114
- Even.neg_powproof · cited by 99
- Matrix.det_negproof · cited by 14
- Matrix.discr_fin_twoproof · cited by 12
- Matrix.IsEllipticstatement · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.IsElliptic.negproof · cited by 1
- UpperHalfPlane.fixedPt_negstatement and proof · cited by 1
- Matrix.IsElliptic.of_negproof · cited by 0