Theorems · Definition · number theory
WittVector.RecursionBase.solution
(p : ℕ) →
[hp : Fact (Nat.Prime p)] → {k : Type u_1} → [inst : Field k] → [IsAlgClosed k] → WittVector p k → WittVector p k → kThe base case (0th coefficient) of our solution vector.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FactFieldIsAlgClosed
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- WittVectorstatement and proof · cited by 227
- IsAlgClosedstatement and proof · cited by 150
- WittVector.RecursionBase.solution_powproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- WittVector.frobeniusRotationCoeffproof · cited by 3
- WittVector.RecursionBase.solution_specstatement · cited by 2
- WittVector.RecursionBase.solution_nonzerostatement and proof · cited by 1
- WittVector.RecursionBase.solution_spec'statement and proof · cited by 1
- WittVector.frobenius_frobeniusRotationproof · cited by 1
- WittVector.RecursionBase.solution.congr_simpstatement and proof · cited by 0
- WittVector.frobeniusRotationCoeff.eq_defstatement and proof · cited by 0