Theorems · Definition · number theory
WittVector.equiv
(p : ℕ) → [hp : Fact (Nat.Prime p)] → WittVector p (ZMod p) ≃+* ℤ_[p]
The ring of Witt vectors over ZMod p is isomorphic to the ring of p-adic integers. This
equivalence is witnessed by WittVector.toPadicInt with inverse WittVector.fromPadicInt.
- Defined in
- Mathlib.RingTheory.WittVector.Compare
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- RingEquivstatement · cited by 1,147
- ZModstatement · cited by 1,024
- WittVectorstatement · cited by 227
- PadicIntstatement · cited by 179
- WittVector.fromPadicIntproof · cited by 4
- WittVector.toPadicIntproof · cited by 4
- WittVector.toPadicInt_comp_fromPadicInt_extproof · cited by 0
- WittVector.fromPadicInt_comp_toPadicInt_extproof · cited by 0
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