Theorems · Theorem · number theory
WeierstrassCurve.exists_isMinimal
∀ (R : Type u_1) [inst : CommRing R] [inst_1 : IsDomain R] [inst_2 : IsDiscreteValuationRing R] {K : Type u_2}
[inst_3 : Field K] [inst_4 : Algebra R K] [inst_5 : IsFractionRing R K] (W : WeierstrassCurve K),
∃ C, WeierstrassCurve.IsMinimal R (C • W)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IsDomainstatement and proof · cited by 2,196
- one_smulproof · cited by 1,374
- IsFractionRingstatement and proof · cited by 738
- WeierstrassCurvestatement and proof · cited by 394
- smul_assocproof · cited by 150
- IsDiscreteValuationRingstatement and proof · cited by 117
- WeierstrassCurve.VariableChangestatement and proof · cited by 53
- MaximalForproof · cited by 25
- WeierstrassCurve.IsIntegralproof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- WeierstrassCurve.minimalproof · cited by 0