Theorems · Definition · number theory

WittVector.Isocrystal.casesOn

{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] →
                {motive : WittVector.Isocrystal p k V → Sort u} →
                  (t : WittVector.Isocrystal p k V) →
                    ([toModule : Module (FractionRing (WittVector p k)) V] →
                        (frob : V ≃ₛₗ[WittVector.FractionRing.frobeniusRingHom p k] V) →
                          motive { toModule := toModule, frob := frob }) →
                      motive t

Defined in

Mathlib.RingTheory.WittVector.Isocrystal

Cited by

0 results in Mathlib

Foundations

Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FactCommRingCharPPerfectRingAddCommGroup