Theorems · Theorem · field theory
Polynomial.coeff_one_reverse
∀ {R : Type u_1} [inst : Semiring R] (f : Polynomial R), f.reverse.coeff 1 = f.nextCoeff- Defined in
- Mathlib.Algebra.Polynomial.Reverse
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.coeffstatement and proof · cited by 1,045
- pos_iff_ne_zeroproof · cited by 180
- zero_tsubproof · cited by 100
- Polynomial.coeff_eq_zero_of_natDegree_ltproof · cited by 55
- Polynomial.nextCoeffstatement and proof · cited by 46
- Polynomial.reversestatement · cited by 38
- Polynomial.revAtproof · cited by 26
- Polynomial.revAt_leproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.Monic.nextCoeff_mulproof · cited by 3
- Matrix.coeff_charpolyRev_eq_neg_traceproof · cited by 1