Theorems · Theorem · number theory
NumberField.InfinitePlace.comap_mk_lift
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K]
[inst_3 : Algebra.IsAlgebraic k K] (φ : k →+* ℂ),
(NumberField.InfinitePlace.mk (NumberField.ComplexEmbedding.lift K φ)).comap (algebraMap k K) =
NumberField.InfinitePlace.mk φ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Algebra.algebraMapstatement · cited by 4,706
- NumberField.InfinitePlacestatement · cited by 604
- Algebra.IsAlgebraicstatement and proof · cited by 322
- NumberField.InfinitePlace.mkstatement and proof · cited by 56
- NumberField.InfinitePlace.comapstatement · cited by 55
- NumberField.ComplexEmbedding.liftstatement · cited by 5
- NumberField.ComplexEmbedding.lift_comp_algebraMapproof · cited by 3
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