OAI/Algebra/DepthFive/ComplexEmbedding.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.Problem335.countable_field_embeds_complexline 13Source documentation
Every countable characteristic-zero field admits an embedding into the complex numbers. This applies to the subfield generated by the finitely many coefficients of a circuit.
theorem countable_field_embeds_complex (K : Type u) [Field K] [CharZero K] [Countable K] : Nonempty (K →+* ℂ) := by …