Theorems · Theorem · linear algebra
Matrix.isDetpBalanced_transpose_iff
∀ {n : Type u_1} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommSemiring R] {A : Matrix n n R}
{a b : R}, A.transpose.IsDetpBalanced a b ↔ A.IsDetpBalanced a b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Matrix.transposestatement · cited by 389
- Matrix.detpproof · cited by 37
- Matrix.IsDetpBalancedstatement · cited by 21
- Matrix.detp_transposeproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.IsDetpBalanced.transposeproof · cited by 0
- Matrix.IsDetpBalanced.of_transposeproof · cited by 0