Theorems · Theorem · number theory
NumberField.InfinitePlace.comap_surjective
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K] [Algebra.IsAlgebraic k K],
Function.Surjective fun x => x.comap (algebraMap k K)- Cited by
- 8 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- NumberField.InfinitePlacestatement and proof · cited by 604
- Algebra.IsAlgebraicstatement and proof · cited by 322
- NumberField.InfinitePlace.embeddingproof · cited by 78
- NumberField.InfinitePlace.mkproof · cited by 56
- NumberField.InfinitePlace.comapstatement · cited by 55
- NumberField.InfinitePlace.mk_embeddingproof · cited by 25
- NumberField.ComplexEmbedding.liftproof · cited by 5
- NumberField.ComplexEmbedding.lift_comp_algebraMapproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.card_isUnramifiedproof · cited by 1
- NumberField.InfinitePlace.card_isUnramified_complproof · cited by 1
- NumberField.IsTotallyReal.of_algebraproof · cited by 1
- NumberField.InfinitePlace.card_monoproof · cited by 0
- IsUnramifiedAtInfinitePlaces.botproof · cited by 0
- NumberField.InfinitePlace.even_card_aut_of_not_isUnramifiedInproof · cited by 0
- NumberField.InfinitePlace.even_finrank_of_not_isUnramifiedInproof · cited by 0
- NumberField.IsCMField.of_forall_isConjproof · cited by 0