Theorems · Theorem · number theory
NumberField.InfinitePlace.mk_embedding
∀ {K : Type u_1} [inst : Field K] (w : NumberField.InfinitePlace K), NumberField.InfinitePlace.mk w.embedding = w- Cited by
- 25 results in Mathlib
- Foundations
- Depth 140 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.embeddingstatement · cited by 78
- NumberField.InfinitePlace.mkstatement · cited by 56
Cited by25
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isReal_iffproof · cited by 13
- NumberField.InfinitePlace.norm_embedding_eqproof · cited by 10
- NumberField.InfinitePlace.comap_surjectiveproof · cited by 8
- NumberField.InfinitePlace.isComplex_iffproof · cited by 7
- NumberField.InfinitePlace.embedding_mk_eqproof · cited by 7
- NumberField.InfinitePlace.IsReal.comapproof · cited by 4
- NumberField.InfinitePlace.comap_embedding_of_isRealproof · cited by 4
- NumberField.InfinitePlace.card_filter_mk_eqproof · cited by 3
- NumberField.InfinitePlace.embedding_injectiveproof · cited by 3
- NumberField.is_primitive_element_of_infinitePlace_ltproof · cited by 3
- NumberField.InfinitePlace.exists_smul_eq_of_comap_eqproof · cited by 2
- NumberField.InfinitePlace.mem_orbit_iffproof · cited by 2