Theorems · Theorem · number theory
NumberField.mixedEmbedding.negAt_apply_norm_isReal
∀ {K : Type u_1} [inst : Field K] {s : Set { w // w.IsReal }} (x : NumberField.mixedEmbedding.mixedSpace K)
(w : { w // w.IsReal }), ‖((NumberField.mixedEmbedding.negAt s) x).1 w‖ = ‖x.1 w‖- Cited by
- 2 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- absproof · cited by 1,814
- ContinuousLinearEquivstatement · cited by 743
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.normAtPlace_negAtproof · cited by 1
- NumberField.mixedEmbedding.iUnion_negAt_plusPart_unionproof · cited by 1