Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.map_baseChange
∀ {R : Type r} [inst : CommRing R] (W' : WeierstrassCurve.Jacobian R) {S : Type s} [inst_1 : CommRing S] {A : Type u}
[inst_2 : CommRing A] {B : Type v} [inst_3 : CommRing B] [inst_4 : Algebra R S] [inst_5 : Algebra R A]
[inst_6 : Algebra S A] [IsScalarTower R S A] [inst_8 : Algebra R B] [inst_9 : Algebra S B] [IsScalarTower R S B]
(f : A →ₐ[S] B), (W'.baseChange A).map ↑f = W'.baseChange B- Cited by
- 20 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Algebrastatement and proof · cited by 11,388
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement and proof · cited by 3,236
- RingHomClass.toRingHomstatement · cited by 746
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- WeierstrassCurve.Jacobian.mapstatement · cited by 24
- WeierstrassCurve.Jacobian.baseChangestatement · cited by 21
- WeierstrassCurve.map_baseChangeproof · cited by 14
Cited by20
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.baseChange_addproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_addXproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_addXYZproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_addYproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_dblUproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_dblXproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_dblXYZproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_dblYproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_dblZproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_equationproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_negproof · cited by 0
- WeierstrassCurve.Jacobian.baseChange_negAddYproof · cited by 0