Theorems · Theorem · number theory
NumberField.mixedEmbedding_injective
∀ (K : Type u_1) [inst : Field K] [NumberField K], Function.Injective ⇑(NumberField.mixedEmbedding K)
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 297 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.
Cites12
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
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.InfinitePlace.IsRealstatement · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
- NumberField.mixedEmbedding.mixedSpacestatement · cited by 239
- RingHom.injectiveproof · cited by 187
- NumberField.mixedEmbeddingstatement and proof · cited by 52
Cited by6
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.integerSetToAssociates_eq_iffproof · cited by 0
- NumberField.mixedEmbedding.unit_smul_eq_iff_mul_eqproof · cited by 0