Theorems · Definition · number theory
WittVector.frobeniusRotationCoeff
(p : ℕ) →
[hp : Fact (Nat.Prime p)] →
{k : Type u_1} →
[inst : Field k] →
[CharP k p] → [IsAlgClosed k] → {a₁ a₂ : WittVector p k} → a₁.coeff 0 ≠ 0 → a₂.coeff 0 ≠ 0 → ℕ → kRecursively defines the sequence of coefficients for WittVector.frobeniusRotation.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FactFieldCharPIsAlgClosed
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharPstatement and proof · cited by 478
- WittVectorstatement and proof · cited by 227
- IsAlgClosedstatement and proof · cited by 150
- WittVector.coeffstatement and proof · cited by 138
- WittVector.RecursionBase.solutionproof · cited by 6
- WittVector.RecursionMain.succNthValproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- WittVector.frobeniusRotationproof · cited by 5
- WittVector.frobenius_frobeniusRotationproof · cited by 1
- WittVector.frobeniusRotationCoeff.congr_simpstatement and proof · cited by 0
- WittVector.frobeniusRotationCoeff.eq_defstatement and proof · cited by 0