Theorems · Theorem · number theory
NumberField.ComplexEmbedding.IsReal.comp
∀ {K : Type u_1} [inst : Field K] {k : Type u_2} [inst_1 : Field k] (f : k →+* K) {φ : K →+* ℂ},
NumberField.ComplexEmbedding.IsReal φ → NumberField.ComplexEmbedding.IsReal (φ.comp f)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- RingHom.compstatement · cited by 899
- RingHom.extproof · cited by 331
- NumberField.ComplexEmbedding.IsRealstatement and proof · cited by 38
- RingHom.congr_funproof · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.IsReal.comapproof · cited by 4
- NumberField.ComplexEmbedding.isReal_comp_iffproof · cited by 1
- NumberField.ComplexEmbedding.Extension.not_isReal_of_not_isRealproof · cited by 0