Theorems · Theorem · number theory
WittVector.RecursionBase.solution_pow
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] {k : Type u_1} [inst : Field k] [IsAlgClosed k] (a₁ a₂ : WittVector p k),
∃ x, x ^ (p - 1) = a₂.coeff 0 / a₁.coeff 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 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.
Cites10
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
- Fact.outproof · cited by 328
- WittVectorstatement and proof · cited by 227
- IsAlgClosedstatement and proof · cited by 150
- WittVector.coeffstatement and proof · cited by 138
- Nat.Prime.one_ltproof · cited by 118
- tsub_pos_of_ltproof · cited by 31
- IsAlgClosed.exists_pow_nat_eqproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.RecursionBase.solutionproof · cited by 6
- WittVector.RecursionBase.solution_specproof · cited by 2