Theorems · Theorem · commutative algebra
MvPolynomial.zero_notMem_coeffs
∀ {R : Type u} {σ : Type u_1} [inst : CommSemiring R] (p : MvPolynomial σ R), 0 ∉ p.coeffs- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.supportproof · cited by 220
- MvPolynomial.mem_support_iffproof · cited by 37
- MvPolynomial.coeffsstatement and proof · cited by 24
- MvPolynomial.mem_coeffs_iffproof · cited by 1
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