Theorems · Theorem · field theory
Polynomial.coeff_mem_coeffs
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R} {n : ℕ}, p.coeff n ≠ 0 → p.coeff n ∈ p.coeffs- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 76 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.
Cites5
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
- Finsetstatement · cited by 13,712
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffstatement and proof · cited by 1,045
- Polynomial.coeffsstatement · cited by 41
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.lifts_iff_coeffs_subset_rangeproof · cited by 1
- Polynomial.coeff_mem_contentIdealproof · cited by 1
- Polynomial.contentIdeal_eq_bot_iffproof · cited by 0
- Polynomial.gaussNorm_lt_one_iff_contentIdeal_leproof · cited by 0
- Polynomial.coeffs_empty_iffproof · cited by 0