Theorems · Definition · number theory
NumberField.ComplexEmbedding.IsReal.embedding
{K : Type u_1} → [inst : Field K] → {φ : K →+* ℂ} → NumberField.ComplexEmbedding.IsReal φ → K →+* ℝA real embedding as a ring homomorphism from K to ℝ .
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Complex.reproof · cited by 882
- NumberField.ComplexEmbedding.IsRealstatement and proof · cited by 38
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.embedding_of_isRealproof · cited by 12
- NumberField.ComplexEmbedding.IsReal.coe_embedding_applystatement and proof · cited by 1