Theorems · Definition · number theory
NumberField.InfinitePlace.mk
{K : Type u_1} → [inst : Field K] → (K →+* ℂ) → NumberField.InfinitePlace KReturn the infinite place defined by a complex embedding φ.
- Cited by
- 56 results in Mathlib
- Foundations
- Depth 138 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.placeproof · cited by 71
Cited by61
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.IsRealproof · cited by 301
- NumberField.InfinitePlace.IsComplexproof · cited by 272
- NumberField.InfinitePlace.mk_embeddingstatement · cited by 25
- NumberField.InfinitePlace.isReal_iffproof · cited by 13
- NumberField.InfinitePlace.comap_mkstatement · cited by 12
- NumberField.InfinitePlace.isReal_mk_iffstatement · cited by 12
- NumberField.InfinitePlace.comap_surjectiveproof · cited by 8
- NumberField.InfinitePlace.prod_eq_abs_normproof · cited by 8
- NumberField.InfinitePlace.embedding_mk_eqstatement and proof · cited by 7
- NumberField.InfinitePlace.isComplex_iffproof · cited by 7
- NumberField.InfinitePlace.sum_mult_eqproof · cited by 7
- NumberField.InfinitePlace.embedding_mk_eq_of_isRealstatement and proof · cited by 5