Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.Point.toAffine_smul
∀ {F : Type u} [inst : Field F] {W : WeierstrassCurve.Projective F} (P : Fin 3 → F) {u : F},
IsUnit u → WeierstrassCurve.Projective.Point.toAffine W (u • P) = WeierstrassCurve.Projective.Point.toAffine W P- Cited by
- 3 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- IsUnitstatement and proof · cited by 1,602
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- mul_ne_zeroproof · cited by 178
- WeierstrassCurve.Affine.Pointstatement and proof · cited by 99
- WeierstrassCurve.Projective.toAffinestatement and proof · cited by 47
- WeierstrassCurve.Projective.Nonsingularproof · cited by 37
- IsUnit.ne_zeroproof · cited by 36
- mul_div_mul_leftproof · cited by 25
- mul_eq_zero_of_rightproof · cited by 16
- WeierstrassCurve.Projective.Point.toAffinestatement and proof · cited by 10
- WeierstrassCurve.Projective.nonsingular_of_Z_ne_zeroproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.Point.toAffine_addproof · cited by 1
- WeierstrassCurve.Projective.Point.toAffine_negproof · cited by 1
- WeierstrassCurve.Projective.Point.toAffine_of_equivproof · cited by 0