Theorems · Theorem · number theory
NumberField.InfinitePlace.isometry_embedding_of_isReal
∀ {K : Type u_1} [inst : Field K] (v : NumberField.InfinitePlace K) (hv : v.IsReal),
Isometry ⇑((NumberField.InfinitePlace.embedding_of_isReal hv).comp (WithAbs.equiv ↑v).toRingHom)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Norm.normproof · cited by 5,413
- RingHom.compstatement and proof · cited by 899
- NumberField.InfinitePlacestatement and proof · cited by 604
- AbsoluteValuestatement · cited by 363
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- Isometrystatement · cited by 230
- RingEquiv.toRingHomstatement and proof · cited by 150
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsRealproof · cited by 9
- NumberField.InfinitePlace.Completion.extensionEmbeddingOfIsReal_coeproof · cited by 2
- NumberField.InfinitePlace.Completion.isometry_extensionEmbeddingOfIsRealproof · cited by 2