Theorems · Theorem · commutative algebra
Polynomial.sylvester_zero_left_deg
∀ {R : Type u_1} [inst : Semiring R] (f g : Polynomial R) (m : ℕ),
f.sylvester g 0 m = Matrix.diagonal fun x => f.coeff 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Matrixstatement and proof · cited by 4,303
- add_zeroproof · cited by 2,707
- Set.Iccproof · cited by 1,702
- Polynomial.coeffstatement and proof · cited by 1,045
- Matrix.extproof · cited by 540
- Matrix.diagonalstatement and proof · cited by 314
- tsub_selfproof · cited by 154
- Set.Icc_selfproof · cited by 63
- Polynomial.sylvesterstatement and proof · cited by 18
- Matrix.of_applyproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.resultant_zero_left_degproof · cited by 13