Theorems · Theorem · number theory
NumberField.InfinitePlace.IsReal.comap
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] (f : k →+* K) {w : NumberField.InfinitePlace K},
w.IsReal → (w.comap f).IsReal- Cited by
- 4 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.
Cites10
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
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- NumberField.InfinitePlace.embeddingproof · cited by 78
- NumberField.InfinitePlace.comapstatement and proof · cited by 55
- NumberField.InfinitePlace.mk_embeddingproof · cited by 25
- NumberField.InfinitePlace.isReal_mk_iffproof · cited by 12
- NumberField.InfinitePlace.comap_mkproof · cited by 12
- NumberField.ComplexEmbedding.IsReal.compproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.not_isUnramified_iffproof · cited by 4
- NumberField.InfinitePlace.mult_comap_leproof · cited by 3
- NumberField.InfinitePlace.IsComplex.of_comapproof · cited by 1
- NumberField.IsTotallyReal.of_algebraproof · cited by 1