Theorems · Theorem · field theory
Polynomial.reverse_leadingCoeff
∀ {R : Type u_1} [inst : Semiring R] (f : Polynomial R), f.reverse.leadingCoeff = f.trailingCoeff- Defined in
- Mathlib.Algebra.Polynomial.Reverse
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 93 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.coeffproof · cited by 1,045
- Polynomial.leadingCoeffstatement · cited by 498
- Polynomial.natTrailingDegreeproof · cited by 87
- Polynomial.reversestatement and proof · cited by 38
- Polynomial.revAtproof · cited by 26
- Polynomial.trailingCoeffstatement and proof · cited by 20
- Polynomial.revAt_leproof · cited by 18
- Polynomial.coeff_reverseproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.mirror_natDegreeproof · cited by 4
- Algebra.exists_aeval_invOf_eq_zero_of_idealMap_adjoin_sup_span_eq_topproof · cited by 3
- Polynomial.eval_divByMonic_eq_trailingCoeff_compproof · cited by 1
- PrimeSpectrum.isIntegral_of_isClosedMap_comap_mapRingHomproof · cited by 1
- Polynomial.trailingCoeff_mulproof · cited by 0