English
For any P,Q, the addMap of their quotient representatives equals the quotient of their sum.
Русский
Для любых P,Q отображение addMap для их представлений в фактор-множество эквивалентно фактор-множению суммы.
LaTeX
$$W'.addMap (Quotient.mk (MulAction.orbitRel (Units F) (Fin 3 → F)) P) (Quotient.mk (MulAction.orbitRel (Units F) (Fin 3 → F)) Q) = Quotient.mk (MulAction.orbitRel (Units F) (Fin 3 → F)) (W'.add P Q)$$
Lean4
/-- The natural map from a nonsingular point on a Weierstrass curve in affine coordinates to its
corresponding nonsingular Jacobian point. -/
def fromAffine [Nontrivial R] : W'.toAffine.Point → W'.Point
| 0 => 0
| .some h => ⟨(nonsingularLift_some ..).mpr h⟩