Theorems · Theorem · field theory
Cubic.degree_of_a_eq_zero
∀ {R : Type u_1} {P : Cubic R} [inst : Semiring R], P.a = 0 → P.toPoly.degree ≤ 2- Defined in
- Mathlib.Algebra.CubicDiscriminant
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 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.
Cites8
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
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Cubic.toPolystatement · cited by 88
- Cubicstatement and proof · cited by 71
- Cubic.astatement and proof · cited by 46
- Cubic.of_a_eq_zeroproof · cited by 7
- Polynomial.degree_quadratic_leproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Cubic.degree_of_a_eq_zero'proof · cited by 0