Theorems · Definition · commutative algebra
WittVector.nthRemainder
(p : ℕ) →
[hp : Fact (Nat.Prime p)] →
{k : Type u_1} → [inst : CommRing k] → [CharP k p] → (n : ℕ) → (Fin (n + 1) → k) → (Fin (n + 1) → k) → kProduces the "remainder function" of the n+1st coefficient, which does not depend on the n+1st
coefficients of the inputs.
- Defined in
- Mathlib.RingTheory.WittVector.MulCoeff
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharPstatement and proof · cited by 478
- WittVector.nth_mul_coeffproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- WittVector.RecursionMain.succNthDefiningPolyproof · cited by 5
- WittVector.succNthValUnitsproof · cited by 2
- WittVector.nthRemainder_specstatement · cited by 1
- WittVector.RecursionMain.succNthVal_spec'statement and proof · cited by 1
- WittVector.frobenius_frobeniusRotationproof · cited by 1
- WittVector.nthRemainder.congr_simpstatement and proof · cited by 0