Theorems · Theorem · number theory
NumberField.ComplexEmbedding.LiesOver.over
∀ {K : Type u_3} {L : Type u_4} {inst : Field K} {inst_1 : Field L} {inst_2 : Algebra K L} (φ : L →+* ℂ) (ψ : K →+* ℂ)
[self : NumberField.ComplexEmbedding.LiesOver φ ψ], φ.comp (algebraMap K L) = ψ- Cited by
- 6 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RingHom.compstatement · cited by 899
- NumberField.ComplexEmbedding.LiesOverstatement and proof · cited by 19
Cited by6
Results whose statement or proof uses this declaration.
- NumberField.ComplexEmbedding.Extension.comp_eqproof · cited by 2
- NumberField.InfinitePlace.Completion.liesOver_extensionEmbeddingproof · cited by 2
- NumberField.InfinitePlace.unramifedPlacesOver_ncard_add_eq_finrankproof · cited by 1
- NumberField.ComplexEmbedding.liesOver_iffproof · cited by 0
- NumberField.ComplexEmbedding.LiesOver.over_applyproof · cited by 0