Theorems · Theorem · number theory
NumberField.InfinitePlace.IsUnramified.of_restrictScalars
∀ {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] [inst_5 : Algebra K F] [IsScalarTower k K F]
{w : NumberField.InfinitePlace F},
NumberField.InfinitePlace.IsUnramified k w → NumberField.InfinitePlace.IsUnramified K w- 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.
Cites14
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
- IsScalarTowerstatement and proof · cited by 3,896
- NumberField.InfinitePlacestatement and proof · cited by 604
- IsScalarTower.algebraMap_eqproof · cited by 110
- NumberField.InfinitePlace.multproof · cited by 107
- NumberField.InfinitePlace.comapproof · cited by 55
- NumberField.InfinitePlace.IsUnramifiedstatement and proof · cited by 35
- NumberField.InfinitePlace.mult_comap_leproof · cited by 3
- NumberField.InfinitePlace.IsUnramified.eqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsUnramifiedAtInfinitePlaces.topproof · cited by 0