Theorems · Theorem · algebraic geometry
WeierstrassCurve.Affine.CoordinateRing.basis_apply
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Affine R} (n : Fin 2),
(WeierstrassCurve.Affine.CoordinateRing.basis W') n = (AdjoinRoot.powerBasis' ⋯).gen ^ ↑n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 132 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.
Cites26
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
- Polynomialstatement and proof · cited by 5,681
- Equiv.symmproof · cited by 3,681
- Nontrivialproof · cited by 2,416
- Module.Basisstatement and proof · cited by 1,477
- AdjoinRootstatement and proof · cited by 177
- WeierstrassCurve.Affinestatement and proof · cited by 174
- subsingleton_or_nontrivialproof · cited by 161
- PowerBasis.genstatement and proof · cited by 122
- finCongrproof · cited by 78
- AdjoinRoot.rootproof · cited by 77
Cited by2
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Affine.CoordinateRing.basis_oneproof · cited by 4
- WeierstrassCurve.Affine.CoordinateRing.basis_zeroproof · cited by 4