Theorems · Theorem · field theory
Polynomial.coeff_neg
∀ {R : Type u} [inst : Ring R] (p : Polynomial R) (n : ℕ), (-p).coeff n = -p.coeff n- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 78 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffstatement · cited by 1,045
- AddMonoidAlgebra.coeffproof · cited by 365
- Polynomial.toFinsuppproof · cited by 64
Cited by15
Results whose statement or proof uses this declaration.
- Polynomial.leadingCoeff_negproof · cited by 10
- Matrix.matPolyEquiv_charmatrixproof · cited by 3
- Matrix.charmatrix_fromBlocksproof · cited by 2
- Matrix.charmatrix_reindexproof · cited by 1
- Polynomial.natDegree_cancelLeads_lt_of_natDegree_le_natDegree_of_commproof · cited by 1
- WeierstrassCurve.coeff_preΨproof · cited by 1
- WeierstrassCurve.coeff_preΨ_ne_zeroproof · cited by 1
- Polynomial.coeffList_negproof · cited by 1
- matPolyEquiv_eq_X_pow_sub_Cproof · cited by 1
- Polynomial.intCast_coeff_zeroproof · cited by 1
- Matrix.charmatrix_mapproof · cited by 1
- Polynomial.div_tendsto_atBot_zero_iff_degree_ltproof · cited by 0