Theorems · Theorem · field theory
Polynomial.mirror_natDegree
∀ {R : Type u_1} [inst : Semiring R] (p : Polynomial R), p.mirror.natDegree = p.natDegree- Defined in
- Mathlib.Algebra.Polynomial.Mirror
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 109 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.
Cites21
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
- mul_oneproof · cited by 3,885
- Nontrivialproof · cited by 2,416
- Polynomial.Xproof · cited by 1,639
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.leadingCoeffproof · cited by 498
- tsub_add_cancel_of_leproof · cited by 112
- Polynomial.natTrailingDegreeproof · cited by 87
- Polynomial.reverseproof · cited by 38
- Polynomial.mirrorstatement and proof · cited by 32
- Polynomial.natDegree_of_subsingletonproof · cited by 21
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.mirror_mirrorproof · cited by 5
- Polynomial.coeff_mirrorproof · cited by 4
- Polynomial.natDegree_mul_mirrorproof · cited by 2
- Polynomial.mirror_eval_oneproof · cited by 1