Theorems · Theorem · group theory
Matrix.IsHyperbolic.neg
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : Preorder R] {m : Matrix (Fin 2) (Fin 2) R},
m.IsHyperbolic → (-m).IsHyperbolicAlias of the reverse direction of Matrix.isHyperbolic_neg_iff.
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- 0 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- Matrix.IsHyperbolicstatement · cited by 5
- Matrix.isHyperbolic_neg_iffproof · cited by 2
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