Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.smul_equiv_smul
∀ {R : Type r} [inst : CommRing R] (P Q : Fin 3 → R) {u v : R}, IsUnit u → IsUnit v → (u • P ≈ v • Q ↔ P ≈ Q)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Unitsproof · cited by 2,804
- IsUnitstatement and proof · cited by 1,602
- MulAction.orbitRelproof · cited by 114
- WeierstrassCurve.Projective.smul_eqproof · cited by 7
- Quotient.eq_iff_equivproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.add_smul_of_equivproof · cited by 1
- WeierstrassCurve.Projective.add_smul_of_not_equivproof · cited by 1