Theorems · Theorem · field theory
Polynomial.mirror_neg
∀ {R : Type u_1} [inst : Ring R] (p : Polynomial R), (-p).mirror = -p.mirror- Defined in
- Mathlib.Algebra.Polynomial.Mirror
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 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.
Cites9
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.Xproof · cited by 1,639
- Polynomial.natTrailingDegreeproof · cited by 87
- Polynomial.reverseproof · cited by 38
- Polynomial.mirrorstatement and proof · cited by 32
- neg_mul_eq_neg_mulproof · cited by 20
- Polynomial.reverse_negproof · cited by 1
- Polynomial.natTrailingDegree_negproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.IsUnitTrinomial.irreducible_of_coprimeproof · cited by 2
- Polynomial.irreducible_of_mirrorproof · cited by 1