Theorems · Theorem · number theory
NumberField.InfinitePlace.even_card_aut_of_not_isUnramified
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K]
{w : NumberField.InfinitePlace K} [IsGalois k K],
¬NumberField.InfinitePlace.IsUnramified k w → Even (Nat.card Gal(K/k))- Cited by
- 3 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Fieldstatement and proof · cited by 7,404
- AlgEquivstatement · cited by 1,681
- Nat.cardstatement · cited by 844
- NumberField.InfinitePlacestatement and proof · cited by 604
- Evenstatement · cited by 444
- IsGaloisstatement and proof · cited by 149
- NumberField.InfinitePlace.IsUnramifiedstatement and proof · cited by 35
- NumberField.InfinitePlace.even_nat_card_aut_of_not_isUnramifiedproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.even_finrank_of_not_isUnramifiedproof · cited by 2
- NumberField.InfinitePlace.even_card_aut_of_not_isUnramifiedInproof · cited by 0
- IsUnramifiedAtInfinitePlaces_of_odd_card_autproof · cited by 0