Theorems · Inductive type · number theory
WeierstrassCurve.IsIntegral
(R : Type u_1) → [inst : CommRing R] → {K : Type u_2} → [inst_1 : Field K] → [Algebra R K] → WeierstrassCurve K → PropA Weierstrass equation over the fraction field K is integral if
it has coefficients in the ring R.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- Algebrastatement · cited by 11,388
- Fieldstatement · cited by 7,404
- WeierstrassCurvestatement · cited by 394
Cited by29
Results whose statement or proof uses this declaration.
- WeierstrassCurve.integralModelstatement and proof · cited by 18
- WeierstrassCurve.baseChange_integralModel_eqstatement and proof · cited by 12
- WeierstrassCurve.valuation_Δ_auxproof · cited by 5
- WeierstrassCurve.integralModel_Δ_eqstatement and proof · cited by 2
- WeierstrassCurve.IsIntegral.integralstatement and proof · cited by 2
- WeierstrassCurve.IsMinimal.casesOnstatement and proof · cited by 1
- WeierstrassCurve.integralModel_c₄_eqstatement and proof · cited by 1
- WeierstrassCurve.isIntegral_of_exists_liftstatement · cited by 1
- WeierstrassCurve.exists_isIntegralstatement · cited by 1
- WeierstrassCurve.IsIntegral.casesOnstatement and proof · cited by 1
- WeierstrassCurve.IsIntegral.recOnstatement and proof · cited by 0
- WeierstrassCurve.IsMinimal.recOnstatement and proof · cited by 0