Theorems · Definition · field theory
Polynomial.mirror
{R : Type u_1} → [inst : Semiring R] → Polynomial R → Polynomial Rmirror of a polynomial: reverses the coefficients while preserving Polynomial.natDegree
- Defined in
- Mathlib.Algebra.Polynomial.Mirror
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.natTrailingDegreeproof · cited by 87
- Polynomial.reverseproof · cited by 38
Cited by32
Results whose statement or proof uses this declaration.
- Polynomial.mirror_mirrorstatement and proof · cited by 5
- Polynomial.mirror_natTrailingDegreestatement and proof · cited by 5
- Polynomial.mirror_zerostatement · cited by 5
- Polynomial.mirror_natDegreestatement and proof · cited by 4
- Polynomial.coeff_mirrorstatement and proof · cited by 4
- Polynomial.trinomial_mirrorstatement · cited by 4
- Polynomial.natTrailingDegree_mul_mirrorstatement and proof · cited by 2
- Polynomial.mirror_eq_iffstatement · cited by 2
- Polynomial.mirror_eq_zerostatement and proof · cited by 2
- Polynomial.mirror_involutivestatement · cited by 2
- Polynomial.mirror_monomialstatement and proof · cited by 2
- Polynomial.mirror_mul_of_domainstatement and proof · cited by 2