Theorems · Theorem · field theory
Polynomial.degree_of_subsingleton
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R} [Subsingleton R], p.degree = ⊥- Cited by
- 8 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringSubsingleton
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Polynomialstatement and proof · cited by 5,681
- Bot.botstatement and proof · cited by 4,720
- WithBotstatement and proof · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.degree_zeroproof · cited by 22
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.degree_comp_neg_Xproof · cited by 7
- Polynomial.degree_add_divByMonicproof · cited by 4
- Polynomial.degree_modByMonic_leproof · cited by 2
- Polynomial.degree_integralNormalizationproof · cited by 2
- Polynomial.degree_mul_C_of_isUnitproof · cited by 1
- Polynomial.degree_C_mul_of_isUnitproof · cited by 1
- Polynomial.exists_mul_add_mul_eq_C_resultantproof · cited by 1
- Polynomial.degree_modByMonic_le_leftproof · cited by 1