Theorems · Theorem · algebraic geometry
WeierstrassCurve.Affine.CoordinateRing.degree_norm_smul_basis
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Affine R} [IsDomain R] (p q : Polynomial R),
((Algebra.norm (Polynomial R)) (p • 1 + q • (WeierstrassCurve.Affine.CoordinateRing.mk W') Polynomial.X)).degree =
max (2 • p.degree) (2 • q.degree + 3)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites60
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- MonoidHomstatement · cited by 3,629
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- IsDomainstatement and proof · cited by 2,196
- MulZeroClass.mul_zeroproof · cited by 2,091
- le_reflproof · cited by 2,061
- Polynomial.Xstatement and proof · cited by 1,639
- MulZeroClass.zero_mulproof · cited by 1,625
Cited by1
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Affine.CoordinateRing.degree_norm_ne_oneproof · cited by 1