Mathlib Map

Theorems · Theorem · algebraic geometry

WeierstrassCurve.Projective.add_of_not_equiv

∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Projective R} {P Q : Fin 3 → R},
  ¬P ≈ Q → W'.add P Q = W'.addXYZ P Q
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Projective.Point
Cited by
6 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WeierstrassCurve.Projective.add_of_X_ne · cited by 3Projective.add_of_X_neWeierstrassCurve.Projective.add_of_Y_ne · cited by 3Projective.add_of_Y_neWeierstrassCurve.Projective.add_of_Z_eq_zero_left · cited by 3Projective.add_of_Z_eq_ze…WeierstrassCurve.Projective.add_of_Z_eq_zero_right · cited by 3Projective.add_of_Z_eq_ze…WeierstrassCurve.Projective.add_smul_of_not_equiv · cited by 1Projective.add_smul_of_no…WeierstrassCurve.Projective.map_add · cited by 1Projective.map_addCommRing · cited by 17173CommRingWeierstrassCurve.Projective · cited by 244WeierstrassCurve.Projecti…WeierstrassCurve.Projective.add · cited by 20Projective.addWeierstrassCurve.Projective.addXYZ · cited by 15Projective.addXYZProjective.add_of_not_equivCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.