Theorems · Inductive type · number theory

WittVector.IsocrystalEquiv

(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] →
                [WittVector.Isocrystal p k V] →
                  (V₂ : Type u_3) → [inst_6 : AddCommGroup V₂] → [WittVector.Isocrystal p k V₂] → Type (max u_2 u_3)

An isomorphism between isocrystals respects the Frobenius map. Notation M ≃ᶠⁱ [p, k] in the Isocrystal namespace.

Defined in

Mathlib.RingTheory.WittVector.Isocrystal

Cited by

5 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext

Assumes

FactCommRingCharPPerfectRingAddCommGroupWittVector.IsocrystalAddCommGroupWittVector.Isocrystal