Theorems · Theorem · field theory
Polynomial.degree_quadratic_le
∀ {R : Type u} {a b c : R} [inst : Semiring R],
(Polynomial.C a * Polynomial.X ^ 2 + Polynomial.C b * Polynomial.X + Polynomial.C c).degree ≤ 2- Cited by
- 4 results in Mathlib
- Foundations
- Depth 106 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- WithBotstatement · cited by 1,498
- le_transproof · cited by 985
- add_assocproof · cited by 746
- Polynomial.degreestatement and proof · cited by 643
- WithBot.coe_le_coeproof · cited by 76
- one_le_twoproof · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.natDegree_quadratic_leproof · cited by 3
- Polynomial.degree_cubic_leproof · cited by 3
- Polynomial.degree_quadratic_ltproof · cited by 1
- Cubic.degree_of_a_eq_zeroproof · cited by 1