Theorems · Theorem · field theory
Polynomial.support_eq_empty
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R}, p.support = ∅ ↔ p = 0- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 86 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.
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
- Finsetstatement · cited by 13,712
- Polynomialstatement and proof · cited by 5,681
- AddMonoidAlgebraproof · cited by 649
- Polynomial.supportstatement · cited by 237
- Polynomial.casesOnproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.degree_eq_botproof · cited by 34
- Polynomial.support_nonemptyproof · cited by 7
- Polynomial.nonempty_support_iffproof · cited by 5
- Polynomial.trailingDegree_eq_topproof · cited by 1
- Polynomial.supDegree_eq_natDegreeproof · cited by 0