Theorems · Theorem · field theory
Cubic.degree_of_a_ne_zero
∀ {R : Type u_1} {P : Cubic R} [inst : Semiring R], P.a ≠ 0 → P.toPoly.degree = 3- Defined in
- Mathlib.Algebra.CubicDiscriminant
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 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.
Cites7
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 · cited by 643
- Cubic.toPolystatement · cited by 88
- Cubicstatement and proof · cited by 71
- Cubic.astatement and proof · cited by 46
- Polynomial.degree_cubicproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Cubic.splits_iff_card_rootsproof · cited by 2
- Cubic.degree_of_a_ne_zero'proof · cited by 1