Theorems · Definition · number theory

WittVector.IsocrystalEquiv.toLinearEquiv

{p : ℕ} →
  [inst : Fact (Nat.Prime p)] →
    {k : Type u_1} →
      [inst_1 : CommRing k] →
        [inst_2 : CharP k p] →
          [inst_3 : PerfectRing k p] →
            {V : Type u_2} →
              [inst_4 : AddCommGroup V] →
                [inst_5 : WittVector.Isocrystal p k V] →
                  {V₂ : Type u_3} →
                    [inst_6 : AddCommGroup V₂] →
                      [inst_7 : WittVector.Isocrystal p k V₂] →
                        WittVector.IsocrystalEquiv p k V V₂ → V ≃ₗ[FractionRing (WittVector p k)] V₂

Defined in

Mathlib.RingTheory.WittVector.Isocrystal

Cited by

1 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FactCommRingCharPPerfectRingAddCommGroupWittVector.IsocrystalAddCommGroupWittVector.Isocrystal