Theorems · Theorem · field theory
Polynomial.natDegree_eq_reverse_natDegree_add_natTrailingDegree
∀ {R : Type u_1} [inst : Semiring R] (f : Polynomial R), f.natDegree = f.reverse.natDegree + f.natTrailingDegree- Defined in
- Mathlib.Algebra.Polynomial.Reverse
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 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.
Cites26
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
- le_antisymmproof · cited by 2,068
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.natTrailingDegreestatement and proof · cited by 87
- Polynomial.leadingCoeff_eq_zeroproof · cited by 55
- tsub_le_iff_rightproof · cited by 49
- Polynomial.reversestatement and proof · cited by 38
- Polynomial.revAtproof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.reverse_natDegreeproof · cited by 2