Theorems · Theorem · field theory
Polynomial.C_neg
∀ {R : Type u} {a : R} [inst : Ring R], Polynomial.C (-a) = -Polynomial.C a- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 101 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.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Polynomialstatement · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- map_negproof · cited by 378
Cited by25
Results whose statement or proof uses this declaration.
- Polynomial.monic_X_sub_Cproof · cited by 41
- Polynomial.natDegree_sub_Cproof · cited by 24
- Polynomial.iterate_derivative_X_sub_powproof · cited by 4
- Polynomial.separable_X_sub_Cproof · cited by 3
- Cubic.C_mul_prod_X_sub_C_eqproof · cited by 2
- Polynomial.bernoulli_comp_neg_Xproof · cited by 2
- Polynomial.Splits.negproof · cited by 2
- Polynomial.reflect_negproof · cited by 2
- Polynomial.IsUnitTrinomial.irreducible_of_coprimeproof · cited by 2
- WeierstrassCurve.Affine.addPolynomial_eqproof · cited by 1
- Polynomial.degree_sub_Cproof · cited by 1
- Polynomial.roots_C_mul_X_add_C_of_IsUnitproof · cited by 1