Theorems · Theorem · number theory

IsUnramifiedAtInfinitePlaces.bot

∀ (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]
  [h₁ : IsUnramifiedAtInfinitePlaces k F] [Algebra.IsAlgebraic K F], IsUnramifiedAtInfinitePlaces k K

Defined in: Mathlib.NumberTheory.NumberField.InfinitePlace.Ramification
Cited by: 0 results in Mathlib
Foundations: Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Field Algebra Algebra Algebra IsScalarTower IsUnramifiedAtInfinitePlaces Algebra.IsAlgebraic

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Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
Algebra.algebraMapproof · cited by 4,706
IsScalarTowerstatement and proof · cited by 3,896
NumberField.InfinitePlaceproof · cited by 604
Algebra.IsAlgebraicstatement and proof · cited by 322
NumberField.InfinitePlace.comapproof · cited by 55
IsUnramifiedAtInfinitePlacesstatement and proof · cited by 9
NumberField.InfinitePlace.comap_surjectiveproof · cited by 8
IsUnramifiedAtInfinitePlaces.isUnramifiedproof · cited by 4
NumberField.InfinitePlace.IsUnramified.comapproof · cited by 1

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