Theorems · Theorem · field theory
Polynomial.degree_cubic_le
∀ {R : Type u} {a b c d : R} [inst : Semiring R],
(Polynomial.C a * Polynomial.X ^ 3 + Polynomial.C b * Polynomial.X ^ 2 + Polynomial.C c * Polynomial.X +
Polynomial.C d).degree ≤
3- Cited by
- 3 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.
Cites14
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
- Polynomial.degree_C_mul_X_pow_leproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.natDegree_cubic_leproof · cited by 0
- Cubic.card_roots_leproof · cited by 0
- Polynomial.degree_cubic_ltproof · cited by 0