Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.add_smul_of_equiv
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Projective R} {P Q : Fin 3 → R},
P ≈ Q → ∀ {u v : R}, IsUnit u → IsUnit v → W'.add (u • P) (v • Q) = u ^ 4 • W'.add P Q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- IsUnitstatement and proof · cited by 1,602
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- WeierstrassCurve.Projective.addstatement and proof · cited by 20
- WeierstrassCurve.Projective.dblXYZproof · cited by 14
- WeierstrassCurve.Projective.add_of_equivproof · cited by 6
- WeierstrassCurve.Projective.smul_equiv_smulproof · cited by 2
- WeierstrassCurve.Projective.dblXYZ_smulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.add_smul_equivproof · cited by 1