Theorems · Theorem · number theory
WittVector.frobenius_frobeniusRotation
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] {k : Type u_1} [inst : Field k] [inst_1 : CharP k p] [inst_2 : IsAlgClosed k]
{a₁ a₂ : WittVector p k} (ha₁ : a₁.coeff 0 ≠ 0) (ha₂ : a₂.coeff 0 ≠ 0),
WittVector.frobenius (WittVector.frobeniusRotation p ha₁ ha₂) * a₁ = WittVector.frobeniusRotation p ha₁ ha₂ * a₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 144 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.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingproof · cited by 17,173
- RingHomstatement · cited by 10,189
- 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.extproof · cited by 29
- WittVector.frobeniusstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.exists_frobenius_solution_fractionRing_auxproof · cited by 1