Theorems · Definition · number theory
PadicAlgCl
(p : ℕ) → [hp : Fact (Nat.Prime p)] → Type
PadicAlgCl p is a fixed algebraic closure of ℚ_[p].
- Defined in
- Mathlib.NumberTheory.Padics.Complex
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Padicproof · cited by 151
- AlgebraicClosureproof · cited by 53
Cited by23
Results whose statement or proof uses this declaration.
- PadicComplexproof · cited by 8
- PadicComplex.valuation_extendsstatement and proof · cited by 2
- PadicAlgCl.valuation_coestatement and proof · cited by 2
- PadicComplex.coe_eqstatement and proof · cited by 2
- PadicComplex.norm_eq_norm'statement and proof · cited by 1
- PadicComplex.norm_extendsstatement and proof · cited by 1
- PadicAlgCl.norm_extendsstatement and proof · cited by 1
- PadicAlgCl.valuation_pstatement and proof · cited by 1
- PadicComplexIntstatement · cited by 1
- PadicComplex.nnnorm_extends'statement and proof · cited by 0
- PadicComplex.norm_eq_normstatement · cited by 0
- PadicComplex.norm_extends'statement and proof · cited by 0