Theorems · Theorem · number theory
NumberField.mixedEmbedding.commMap_apply_of_isReal
∀ (K : Type u_1) [inst : Field K] (x : (K →+* ℂ) → ℂ) {w : NumberField.InfinitePlace K} (hw : w.IsReal),
((NumberField.mixedEmbedding.commMap K) x).1 ⟨w, hw⟩ = (x w.embedding).re- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Complex.restatement · cited by 882
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
- NumberField.mixedEmbedding.mixedSpacestatement · cited by 239
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.disjoint_span_commMap_kerproof · cited by 0