Theorems · Theorem · algebraic geometry
WeierstrassCurve.Affine.CoordinateRing.smul
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Affine R} (x : Polynomial R) (y : W'.CoordinateRing),
x • y = (WeierstrassCurve.Affine.CoordinateRing.mk W') (Polynomial.C x) * y- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 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.
Cites10
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
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement · cited by 1,598
- WeierstrassCurve.Affinestatement and proof · cited by 174
- algebraMap_smulproof · cited by 87
- WeierstrassCurve.Affine.polynomialstatement · cited by 61
- WeierstrassCurve.Affine.CoordinateRingstatement and proof · cited by 39
- WeierstrassCurve.Affine.CoordinateRing.mkstatement · cited by 25
Cited by3
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Affine.CoordinateRing.map_smulproof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.smul_basis_mul_Yproof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.smul_basis_mul_Cproof · cited by 0