Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.dblU_smul
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} (P : Fin 3 → R) (u : R),
W'.dblU (u • P) = u ^ 4 * W'.dblU P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 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.
Cites7
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
- WeierstrassCurve.a₁proof · cited by 272
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.a₂proof · cited by 216
- WeierstrassCurve.a₄proof · cited by 187
- WeierstrassCurve.Jacobian.dblUstatement · cited by 19
- WeierstrassCurve.Jacobian.dblU_eqproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.dblX_smulproof · cited by 3
- WeierstrassCurve.Jacobian.negDblY_smulproof · cited by 1