Theorems · Theorem · number theory
NumberField.IsTotallyReal.complexEmbedding_isReal
∀ {K : Type u_2} [inst : Field K] [NumberField.IsTotallyReal K] (φ : K →+* ℂ), NumberField.ComplexEmbedding.IsReal φ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 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.
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- NumberField.InfinitePlace.mkproof · cited by 56
- NumberField.ComplexEmbedding.IsRealstatement · cited by 38
- NumberField.IsTotallyRealstatement and proof · cited by 21
- NumberField.InfinitePlace.isReal_mk_iffproof · cited by 12
- NumberField.IsTotallyReal.isRealproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.