Theorems · Theorem · field theory
Polynomial.map_neg
∀ {R : Type u} [inst : Ring R] {p : Polynomial R} {S : Type u_1} [inst_1 : Ring S] (f : R →+* S),
Polynomial.map f (-p) = -Polynomial.map f p- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- RingHomstatement and proof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Polynomial.mapstatement · cited by 806
- Polynomial.mapRingHomproof · cited by 98
- RingHom.map_negproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Affine.map_negPolynomialproof · cited by 1
- Polynomial.aroots_negproof · cited by 1
- minpoly_neg_splitsproof · cited by 1
- Matrix.charmatrix_mapproof · cited by 1
- bernoulliFun_twoproof · cited by 0