Theorems · Theorem · field theory
Polynomial.degree_linear
∀ {R : Type u} {a b : R} [inst : Semiring R], a ≠ 0 → (Polynomial.C a * Polynomial.X + Polynomial.C b).degree = 1- Cited by
- 1 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.
Cites11
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 and proof · cited by 1,498
- Polynomial.degreestatement · cited by 643
- Polynomial.degree_add_eq_left_of_degree_ltproof · cited by 14
- Polynomial.degree_C_mul_Xproof · cited by 3
- Polynomial.degree_C_lt_degree_C_mul_Xproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Cubic.degree_of_c_ne_zeroproof · cited by 1