Theorems · Theorem · field theory
Polynomial.coeff_reverse
∀ {R : Type u_1} [inst : Semiring R] (f : Polynomial R) (n : ℕ),
f.reverse.coeff n = f.coeff ((Polynomial.revAt f.natDegree) n)- Defined in
- Mathlib.Algebra.Polynomial.Reverse
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 72 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.coeffstatement and proof · cited by 1,045
- Function.Embeddingstatement · cited by 988
- Polynomial.reversestatement · cited by 38
- Polynomial.revAtstatement and proof · cited by 26
- Polynomial.coeff_reflectproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.reverse_leadingCoeffproof · cited by 5
- Polynomial.coeff_zero_reverseproof · cited by 4
- Polynomial.coeff_mirrorproof · cited by 4
- Polynomial.coeff_one_reverseproof · cited by 2
- Polynomial.natDegree_eq_reverse_natDegree_add_natTrailingDegreeproof · cited by 1
- Polynomial.reverse_natDegree_leproof · cited by 1
- Matrix.charpoly_coeff_eq_sum_minorsproof · cited by 0