Theorems · Theorem · field theory
Polynomial.isMonicOfDegree_zero_iff
∀ {R : Type u_1} [inst : Semiring R] {p : Polynomial R}, p.IsMonicOfDegree 0 ↔ p = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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.
Cites7
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
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.Monicproof · cited by 461
- Polynomial.natDegree_oneproof · cited by 43
- Polynomial.IsMonicOfDegreestatement · cited by 39
- Polynomial.eq_one_of_monic_natDegree_zeroproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.isMonicOfDegree_iff_of_subsingletonproof · cited by 0