toAffineLift — Mathlib

English

The lift-to-affine map is definitionally equal to the standard toAffine on representatives.

Русский

Переложение отображения тензора в аффинную форму по определению совпадает с обычным toAffine на представителях.

LaTeX

$$$ toAffineLift ⟨hP⟩ = toAffine W P $$$

Lean4

/-- The natural map from a nonsingular Jacobian point on a Weierstrass curve `W` to its
corresponding nonsingular point in affine coordinates.

If `hP` is the nonsingular condition underlying a nonsingular Jacobian point `P` on `W`, then
`toAffineLift ⟨hP⟩` is definitionally equivalent to `toAffine W P`. -/
noncomputable def toAffineLift (P : W.Point) : W.toAffine.Point :=
  P.point.lift _ fun _ _ => toAffine_of_equiv

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