Theorems · Theorem · group theory
Matrix.GeneralLinearGroup.parabolicEigenvalue_ne_zero
∀ {K : Type u_2} [inst : Field K] {g : GL (Fin 2) K} [NeZero 2], g.IsParabolic → (↑g).parabolicEigenvalue ≠ 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Matrixstatement · cited by 4,303
- Units.valstatement and proof · cited by 1,966
- Matrix.detproof · cited by 665
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.traceproof · cited by 114
- mul_eq_zeroproof · cited by 94
- two_ne_zero'proof · cited by 38
- Matrix.GeneralLinearGroup.IsParabolicstatement and proof · cited by 14
- Matrix.GeneralLinearGroup.det_ne_zeroproof · cited by 13
- Matrix.discr_fin_twoproof · cited by 12
- sq_eq_zero_iffproof · cited by 11
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