Theorems · Theorem · field theory
Polynomial.reverse_natDegree
∀ {R : Type u_1} [inst : Semiring R] (f : Polynomial R), f.reverse.natDegree = f.natDegree - f.natTrailingDegree- Defined in
- Mathlib.Algebra.Polynomial.Reverse
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 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.
Cites7
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.natDegreestatement and proof · cited by 1,105
- add_tsub_cancel_rightproof · cited by 172
- Polynomial.natTrailingDegreestatement and proof · cited by 87
- Polynomial.reversestatement and proof · cited by 38
- Polynomial.natDegree_eq_reverse_natDegree_add_natTrailingDegreeproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.reverse_leadingCoeffproof · cited by 5
- Polynomial.mirror_natDegreeproof · cited by 4