Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.smul_eq
∀ {R : Type r} [inst : CommRing R] (P : Fin 3 → R) {u : R}, IsUnit u → ⟦u • P⟧ = ⟦P⟧- Cited by
- 7 results in Mathlib
- Foundations
- Depth 68 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.
Cites6
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
- Unitsstatement · cited by 2,804
- IsUnitstatement and proof · cited by 1,602
- MulAction.orbitRelstatement · cited by 114
- Quotient.eqproof · cited by 50
- WeierstrassCurve.Jacobian.smul_equivproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.smul_equiv_smulproof · cited by 2
- WeierstrassCurve.Jacobian.negMap_of_Z_eq_zeroproof · cited by 0
- WeierstrassCurve.Jacobian.negMap_of_Z_ne_zeroproof · cited by 0
- WeierstrassCurve.Jacobian.addMap_of_Y_eqproof · cited by 0
- WeierstrassCurve.Jacobian.addMap_of_Z_eq_zero_leftproof · cited by 0
- WeierstrassCurve.Jacobian.addMap_of_Z_eq_zero_rightproof · cited by 0
- WeierstrassCurve.Jacobian.addMap_of_Z_ne_zeroproof · cited by 0