Theorems · Theorem · ring theory
Polynomial.natDegree_opRingEquiv
∀ {R : Type u_1} [inst : Semiring R] (p : (Polynomial R)ᵐᵒᵖ),
((Polynomial.opRingEquiv R) p).natDegree = (MulOpposite.unop p).natDegree- Defined in
- Mathlib.RingTheory.Polynomial.Opposites
- Cited by
- 1 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- map_zeroproof · cited by 1,614
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- Polynomial.natDegreestatement and proof · cited by 1,105
- MulOpposite.unopstatement and proof · cited by 268
- Polynomial.supportproof · cited by 237
- Finset.max'proof · cited by 81
- Polynomial.opRingEquivstatement and proof · cited by 13
- Polynomial.nonempty_support_iffproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.leadingCoeff_opRingEquivproof · cited by 0