Theorems · Theorem · algebraic geometry
WeierstrassCurve.Affine.CoordinateRing.basis_zero
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Affine R},
(WeierstrassCurve.Affine.CoordinateRing.basis W') 0 = 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement · cited by 5,681
- Module.Basisstatement · cited by 1,477
- pow_zeroproof · cited by 1,094
- WeierstrassCurve.Affinestatement and proof · cited by 174
- PowerBasis.genproof · cited by 122
- WeierstrassCurve.Affine.polynomialstatement · cited by 61
- WeierstrassCurve.Affine.CoordinateRingstatement · cited by 39
- AdjoinRoot.powerBasis'proof · cited by 12
- WeierstrassCurve.Affine.CoordinateRing.basisstatement · cited by 8
- WeierstrassCurve.Affine.monic_polynomialproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Affine.CoordinateRing.norm_smul_basisproof · cited by 2
- WeierstrassCurve.Affine.CoordinateRing.exists_smul_basis_eqproof · cited by 2
- WeierstrassCurve.Affine.CoordinateRing.smul_basis_eq_zeroproof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.coe_basisproof · cited by 0