Theorems · Definition · number theory
WittVector.RecursionMain.succNthDefiningPoly
(p : ℕ) →
[hp : Fact (Nat.Prime p)] →
{k : Type u_1} →
[inst : CommRing k] → [CharP k p] → (n : ℕ) → WittVector p k → WittVector p k → (Fin (n + 1) → k) → Polynomial kThe root of this polynomial determines the n+1st coefficient of our solution.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement · cited by 5,681
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- CharPstatement and proof · cited by 478
- WittVectorstatement and proof · cited by 227
- WittVector.coeffproof · cited by 138
- WittVector.truncateFunproof · cited by 21
- WittVector.nthRemainderproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- WittVector.RecursionMain.succNthDefiningPoly_degreestatement · cited by 1
- WittVector.RecursionMain.succNthVal_specstatement · cited by 1
- WittVector.RecursionMain.succNthVal_spec'proof · cited by 1
- WittVector.RecursionMain.root_existsstatement and proof · cited by 1
- WittVector.RecursionMain.succNthDefiningPoly.congr_simpstatement and proof · cited by 0