Theorems · Theorem · number theory
NumberField.InfinitePlace.ComplexEmbedding.exists_comp_symm_eq_of_comp_eq
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K] [IsGalois k K]
(φ ψ : K →+* ℂ), φ.comp (algebraMap k K) = ψ.comp (algebraMap k K) → ∃ σ, φ.comp ↑σ.symm = ψ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 149 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
- 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
- AlgEquivstatement · cited by 1,681
- RingHom.compstatement and proof · cited by 899
- RingHomClass.toRingHomstatement · cited by 746
- AlgEquiv.symmstatement · cited by 615
- IsGaloisstatement and proof · cited by 149
- NumberField.ComplexEmbedding.exists_comp_symm_eq_of_comp_eqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.exists_smul_eq_of_comap_eqproof · cited by 2