Theorems · Theorem · field theory
Polynomial.natTrailingDegree_mem_support_of_nonzero
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R}, p ≠ 0 → p.natTrailingDegree ∈ p.support- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 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.
Cites7
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.supportstatement · cited by 237
- Polynomial.natTrailingDegreestatement · cited by 87
- Polynomial.mem_support_iffproof · cited by 30
- Polynomial.trailingCoeff_nonzero_iff_nonzeroproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.IsUnitTrinomial.trailingCoeff_isUnitproof · cited by 0