Theorems · Theorem · field theory
Polynomial.degree_quadratic_lt
∀ {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 < 3- 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- WithBotstatement · cited by 1,498
- LE.le.trans_ltproof · cited by 795
- Polynomial.degreestatement · cited by 643
- lt_add_oneproof · cited by 105
- WithBot.coe_lt_coeproof · cited by 55
- Polynomial.degree_quadratic_leproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.degree_quadratic_lt_degree_C_mul_X_cbproof · cited by 2