Theorems · Theorem · number theory
NumberField.ComplexEmbedding.lift_algebraMap_apply
∀ (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) (x : k),
(NumberField.ComplexEmbedding.lift K φ) ((algebraMap k K) x) = φ x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- DFunLike.coestatement · cited by 62,936
- 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
- Algebra.IsAlgebraicstatement and proof · cited by 322
- RingHom.congr_funproof · cited by 29
- NumberField.ComplexEmbedding.liftstatement · cited by 5
- NumberField.ComplexEmbedding.lift_comp_algebraMapproof · cited by 3
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