Theorems · Theorem · number theory
WeierstrassCurve.IsIntegral.integral
∀ {R : Type u_1} {inst : CommRing R} {K : Type u_2} {inst_1 : Field K} {inst_2 : Algebra R K} {W : WeierstrassCurve K}
[self : WeierstrassCurve.IsIntegral R W], ∃ W_int, W = W_int.baseChange K- Cited by
- 2 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
- Assumes
- WeierstrassCurve.IsIntegral
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
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- WeierstrassCurvestatement and proof · cited by 394
- WeierstrassCurve.baseChangestatement · cited by 28
- WeierstrassCurve.IsIntegralstatement and proof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- WeierstrassCurve.integralModelproof · cited by 18
- WeierstrassCurve.baseChange_integralModel_eqproof · cited by 12
- WeierstrassCurve.Δ_integral_of_isIntegralproof · cited by 0