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Theorems · Definition · number theory

WeierstrassCurve.IsIntegral.casesOn

{R : Type u_1} →
  [inst : CommRing R] →
    {K : Type u_2} →
      [inst_1 : Field K] →
        [inst_2 : Algebra R K] →
          {W : WeierstrassCurve K} →
            {motive : WeierstrassCurve.IsIntegral R W → Sort u} →
              (t : WeierstrassCurve.IsIntegral R W) →
                ((integral : ∃ W_int, W = W_int.baseChange K) → motive ⋯) → motive t
Defined in
Mathlib.AlgebraicGeometry.EllipticCurve.Reduction
Cited by
1 results in Mathlib
Foundations
Depth 48 from the axioms · uses propext, Quot.sound
Assumes
CommRingFieldAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WeierstrassCurve.isIntegral_iff · cited by 0WeierstrassCurve.isIntegr…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraField · cited by 7404FieldWeierstrassCurve · cited by 394WeierstrassCurveWeierstrassCurve.baseChange · cited by 28WeierstrassCurve.baseChan…WeierstrassCurve.IsIntegral · cited by 23WeierstrassCurve.IsIntegr…IsIntegral.casesOnCITED BYCITES

Cites6

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Cited by1

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