Theorems · Theorem · number theory
NumberField.ComplexEmbedding.lift_comp_algebraMap
∀ (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.ComplexEmbedding.lift K φ).comp (algebraMap k K) = φ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 and proof · cited by 4,706
- RingHom.compstatement and proof · cited by 899
- RingHom.toAlgebraproof · cited by 337
- Algebra.IsAlgebraicstatement and proof · cited by 322
- AlgHom.comp_algebraMap_of_towerproof · cited by 23
- AlgHom.toRingHom_eq_coeproof · cited by 23
- NumberField.ComplexEmbedding.liftstatement · cited by 5
- IsAlgClosed.liftproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.comap_surjectiveproof · cited by 8
- NumberField.InfinitePlace.comap_mk_liftproof · cited by 0
- NumberField.ComplexEmbedding.lift_algebraMap_applyproof · cited by 0