neg — Mathlib

English

Define a binary operation on WeierstrassAffine.Point by declaring an additive structure where 0 is the identity and addition is as given by the defined add function.

Русский

Определим бинарное умножение на WeierstrassAffine.Point, задавая структуру аддитивности: 0 — нейтральный элемент, сложение задается функцией add.

LaTeX

$$$\\text{instance }\\text{Add } W.Point$$$

Lean4

/-- The negation of a nonsingular point on a Weierstrass curve in affine coordinates.

Given a nonsingular point `P` in affine coordinates, use `-P` instead of `neg P`. -/
def neg : W'.Point → W'.Point
  | 0 => 0
  | some h => some <| (nonsingular_neg ..).mpr h

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