Theorems · Theorem · algebraic geometry
WeierstrassCurve.Affine.CoordinateRing.YClass_ne_zero
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Affine R} [Nontrivial R] (y : Polynomial R),
WeierstrassCurve.Affine.CoordinateRing.YClass W' y ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Nontrivialstatement and proof · cited by 2,416
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.natDegreeproof · cited by 1,105
- WeierstrassCurve.Affinestatement and proof · cited by 174
- WeierstrassCurve.Affine.polynomialstatement · cited by 61
- WeierstrassCurve.Affine.CoordinateRingstatement · cited by 39
- Polynomial.natDegree_X_sub_Cproof · cited by 22
- Polynomial.X_sub_C_ne_zeroproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Affine.CoordinateRing.mk_XYIdeal'_mul_mk_XYIdeal'proof · cited by 0