Theorems · Theorem · number theory
WittVector.zmodEquivTrunc_compat
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] (k₁ k₂ : ℕ) (hk : k₁ ≤ k₂),
(TruncatedWittVector.truncate hk).comp
((TruncatedWittVector.zmodEquivTrunc p k₂).toRingHom.comp (PadicInt.toZModPow k₂)) =
(TruncatedWittVector.zmodEquivTrunc p k₁).toRingHom.comp (PadicInt.toZModPow k₁)- Defined in
- Mathlib.RingTheory.WittVector.Compare
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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.
- RingHomstatement and proof · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- ZModstatement and proof · cited by 1,024
- RingHom.compstatement and proof · cited by 899
- PadicIntstatement and proof · cited by 179
- RingEquiv.toRingHomstatement and proof · cited by 150
- pow_dvd_powproof · cited by 56
- TruncatedWittVectorstatement and proof · cited by 56
- ZMod.castHomproof · cited by 55
- RingHom.comp_assocproof · cited by 27
- TruncatedWittVector.truncatestatement and proof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.fromPadicIntproof · cited by 4
- WittVector.fromPadicInt_comp_toPadicIntproof · cited by 1
- WittVector.toPadicInt_comp_fromPadicIntproof · cited by 1