Theorems · Theorem · number theory
NumberField.mixedEmbedding.norm_eq_zero_iff
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {x : NumberField.mixedEmbedding.mixedSpace K},
NumberField.mixedEmbedding.norm x = 0 ↔ ∃ w, (NumberField.mixedEmbedding.normAtPlace w) x = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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 and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- MonoidWithZeroHomstatement · cited by 704
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- MonoidWithZeroproof · cited by 456
- NumberField.InfinitePlace.IsRealstatement · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
- NumberField.mixedEmbedding.mixedSpacestatement and proof · cited by 239
- NumberField.InfinitePlace.multproof · cited by 107
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.