Theorems · Definition · number theory
WittVector.Isocrystal.frob
{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} →
[self : WittVector.Isocrystal p k V] → V ≃ₛₗ[WittVector.FractionRing.frobeniusRingHom p k] V- Defined in
- Mathlib.RingTheory.WittVector.Isocrystal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- WittVector.Isocrystal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearEquivstatement · cited by 3,317
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- RingEquivstatement · cited by 1,147
- nonZeroDivisorsstatement · cited by 895
- RingHomClass.toRingHomstatement · cited by 746
- RingEquiv.symmstatement · cited by 567
- CharPstatement and proof · cited by 478
- WittVectorstatement · cited by 227
- FractionRingstatement · cited by 200
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.Isocrystal.frobeniusproof · cited by 10