Theorems · Theorem · group theory
Matrix.IsParabolic.neg
∀ {R : Type u_1} [inst : CommRing R] {m : Matrix (Fin 2) (Fin 2) R}, m.IsParabolic → (-m).IsParabolic- Cited by
- 2 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Matrixstatement and proof · cited by 4,303
- one_mulproof · cited by 2,841
- Matrix.detproof · cited by 665
- one_powproof · cited by 521
- SetLike.mem_coeproof · cited by 302
- Fintype.card_finproof · cited by 270
- Matrix.traceproof · cited by 114
- Even.neg_powproof · cited by 99
- Matrix.scalarproof · cited by 62
- neg_mem_iffproof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.IsParabolic.of_negproof · cited by 1
- Matrix.isParabolic_neg_iffproof · cited by 0