Theorems · Theorem · field theory
Polynomial.coeffList_neg
∀ {R : Type u_1} [inst : Ring R] (P : Polynomial R), (-P).coeffList = List.map (fun x => -x) P.coeffList- Defined in
- Mathlib.Algebra.Polynomial.CoeffList
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffproof · cited by 1,045
- Polynomial.degreeproof · cited by 643
- neg_zeroproof · cited by 542
- WithBot.succproof · cited by 30
- Polynomial.coeffListstatement and proof · cited by 22
- Polynomial.degree_negproof · cited by 21
- Polynomial.coeff_negproof · cited by 15
- Polynomial.coeffList_zeroproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.signVariations_negproof · cited by 2