Theorems · Theorem · number theory
NumberField.InfinitePlace.IsUnramified.comap_algHom
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] {F : Type u_3} [inst_2 : Field F]
[inst_3 : Algebra k K] [inst_4 : Algebra k F] {w : NumberField.InfinitePlace F},
NumberField.InfinitePlace.IsUnramified k w → ∀ (f : K →ₐ[k] F), NumberField.InfinitePlace.IsUnramified k (w.comap ↑f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement and proof · cited by 3,236
- RingHomClass.toRingHomstatement and proof · cited by 746
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.multproof · cited by 107
- AlgHom.comp_algebraMapproof · cited by 63
- NumberField.InfinitePlace.comapstatement and proof · cited by 55
- NumberField.InfinitePlace.IsUnramifiedstatement and proof · cited by 35
- NumberField.InfinitePlace.mult_comap_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.IsUnramified.comapproof · cited by 1