Theorems · Theorem · algebraic geometry
WeierstrassCurve.Projective.map_equation
∀ {R : Type r} [inst : CommRing R] (W' : WeierstrassCurve.Projective R) {S : Type s} [inst_1 : CommRing S]
{f : R →+* S}, Function.Injective ⇑f → ∀ (P : Fin 3 → R), (W'.map f).Equation (⇑f ∘ P) ↔ W'.Equation P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- WeierstrassCurve.Projectivestatement and proof · cited by 244
- MvPolynomial.evalproof · cited by 157
- WeierstrassCurve.Projective.Equationstatement · cited by 88
- map_eq_zero_iffproof · cited by 62
- WeierstrassCurve.Projective.mapstatement · cited by 25
- WeierstrassCurve.Projective.polynomialproof · cited by 10
- MvPolynomial.eval_mapproof · cited by 9
- WeierstrassCurve.Projective.map_polynomialproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.map_nonsingularproof · cited by 1
- WeierstrassCurve.Projective.baseChange_equationproof · cited by 0