Theorems · Theorem · field theory
Polynomial.card_support_le_one_iff_monomial
∀ {R : Type u} [inst : Semiring R] {f : Polynomial R}, f.support.card ≤ 1 ↔ ∃ n a, f = (Polynomial.monomial n) a- Defined in
- Mathlib.Algebra.Polynomial.Monomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 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.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Finset.cardstatement and proof · cited by 2,327
- Polynomial.coeffproof · cited by 1,045
- Polynomial.monomialstatement and proof · cited by 256
- Polynomial.supportstatement and proof · cited by 237
- Finset.card_singletonproof · cited by 144
- Finset.card_le_cardproof · cited by 118
- Polynomial.extproof · cited by 118
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.monomial_natDegree_leadingCoeff_eq_selfproof · cited by 1