Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.map_addX
∀ {R : Type r} {S : Type s} [inst : CommRing R] [inst_1 : CommRing S] {W' : WeierstrassCurve.Jacobian R} (f : R →+* S)
(P Q : Fin 3 → R), (W'.map f).addX (⇑f ∘ P) (⇑f ∘ Q) = f (W'.addX P Q)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- RingHomstatement and proof · cited by 10,189
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- map_subproof · cited by 565
- map_powproof · cited by 503
- WeierstrassCurve.a₁proof · cited by 272
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.a₂proof · cited by 216
- WeierstrassCurve.a₃proof · cited by 210
- WeierstrassCurve.a₄proof · cited by 187
Cited by3
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.map_addXYZproof · cited by 2
- WeierstrassCurve.Jacobian.map_addYproof · cited by 2
- WeierstrassCurve.Jacobian.baseChange_addXproof · cited by 0