fromAffine — Mathlib

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⟩

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