Theorems · Theorem · number theory
NumberField.InfinitePlace.comap_mk
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] (φ : K →+* ℂ) (f : k →+* K),
(NumberField.InfinitePlace.mk φ).comap f = NumberField.InfinitePlace.mk (φ.comp f)- Cited by
- 12 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RingHom.compstatement · cited by 899
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.InfinitePlace.mkstatement · cited by 56
- NumberField.InfinitePlace.comapstatement · cited by 55
Cited by12
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.comap_embedding_of_isRealproof · cited by 4
- NumberField.InfinitePlace.IsReal.comapproof · cited by 4
- NumberField.InfinitePlace.isReal_comap_iffproof · cited by 2
- NumberField.InfinitePlace.LiesOver.isComplex_of_isComplex_underproof · cited by 2
- NumberField.ComplexEmbedding.IsConj.isUnramified_mk_iffproof · cited by 2
- NumberField.InfinitePlace.exists_smul_eq_of_comap_eqproof · cited by 2
- NumberField.InfinitePlace.mem_orbit_iffproof · cited by 2
- NumberField.InfinitePlace.isRamified_mk_iff_isMixedproof · cited by 1
- NumberField.InfinitePlace.LiesOver.mk_embedding_compproof · cited by 1
- NumberField.InfinitePlace.isUnramified_mk_iff_forall_isConjproof · cited by 1
- NumberField.InfinitePlace.IsUnramified.isUnmixedproof · cited by 1
- NumberField.IsCMField.of_forall_isConjproof · cited by 0