Theorems · Theorem · number theory
NumberField.InfinitePlace.embedding_mk_eq_of_isReal
∀ {K : Type u_1} [inst : Field K] {φ : K →+* ℂ},
NumberField.ComplexEmbedding.IsReal φ → (NumberField.InfinitePlace.mk φ).embedding = φ- Cited by
- 5 results in Mathlib
- Foundations
- Depth 169 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- NumberField.InfinitePlace.embeddingstatement and proof · cited by 78
- NumberField.InfinitePlace.mkstatement and proof · cited by 56
- NumberField.ComplexEmbedding.conjugateproof · cited by 40
- NumberField.ComplexEmbedding.IsRealstatement and proof · cited by 38
- NumberField.InfinitePlace.embedding_mk_eqproof · cited by 7
- NumberField.ComplexEmbedding.isReal_iffproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isReal_iffproof · cited by 13
- NumberField.InfinitePlace.comap_embedding_of_isRealproof · cited by 4
- NumberField.InfinitePlace.isUnramified_mk_iff_isUnmixedproof · cited by 1
- NumberField.InfinitePlace.isRamified_mk_iff_isMixedproof · cited by 1
- NumberField.mixedEmbedding.disjoint_span_commMap_kerproof · cited by 0