Theorems · Theorem · field theory
Polynomial.card_support_eq_one
∀ {R : Type u_1} [inst : Semiring R] {f : Polynomial R},
f.support.card = 1 ↔ ∃ k x, ∃ (_ : x ≠ 0), f = Polynomial.C x * Polynomial.X ^ k- Defined in
- Mathlib.Algebra.Polynomial.EraseLead
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites16
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
- Semiringstatement and proof · cited by 13,802
- Finsetproof · cited by 13,712
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Finset.cardstatement and proof · cited by 2,327
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- StrictMonoproof · cited by 706
- Polynomial.supportstatement and proof · cited by 237
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