Theorems · Theorem · number theory

WittVector.IsocrystalHom.frob_equivariant

∀ {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]
  (self : WittVector.IsocrystalHom p k V V₂) (x : V),
  (WittVector.Isocrystal.frobenius p k) (self.toLinearMap x) =
    self.toLinearMap ((WittVector.Isocrystal.frobenius p k) x)

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

FactCommRingCharPPerfectRingAddCommGroupWittVector.IsocrystalAddCommGroupWittVector.Isocrystal