Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.map_add
∀ {F : Type u} {K : Type v} [inst : Field F] [inst_1 : Field K] {W : WeierstrassCurve.Jacobian F} (f : F →+* K)
{P Q : Fin 3 → F}, W.Nonsingular P → W.Nonsingular Q → (W.map f).add (⇑f ∘ P) (⇑f ∘ Q) = ⇑f ∘ W.add P Q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.Jacobian.Nonsingularstatement and proof · cited by 40
- WeierstrassCurve.Jacobian.mapstatement and proof · cited by 24
- WeierstrassCurve.Jacobian.addstatement and proof · cited by 20
- WeierstrassCurve.Jacobian.dblXYZproof · cited by 15
- WeierstrassCurve.Jacobian.addXYZproof · cited by 15
- WeierstrassCurve.Jacobian.add_of_equivproof · cited by 6
- WeierstrassCurve.Jacobian.add_of_not_equivproof · cited by 6
- WeierstrassCurve.Jacobian.map_addXYZproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.baseChange_addproof · cited by 0