Theorems · Theorem · linear algebra
Matrix.toMvPolynomial_totalDegree_le
∀ {m : Type u_1} {n : Type u_2} {R : Type u_4} [inst : Fintype n] [inst_1 : CommSemiring R] (M : Matrix m n R) (i : m),
(M.toMvPolynomial i).totalDegree ≤ 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeCommSemiring
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
- MvPolynomial.totalDegreestatement · cited by 76
- Matrix.toMvPolynomialstatement · cited by 14
- MvPolynomial.IsHomogeneous.totalDegree_leproof · cited by 3
- Matrix.toMvPolynomial_isHomogeneousproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.toMvPolynomial_totalDegree_leproof · cited by 0