Theorems · Definition · number theory

NumberField.InfinitePlace.inertiaDeg

{K : Type u_1} →
  {L : Type u_2} →
    [inst : Field K] →
      [inst_1 : Field L] → [Algebra K L] → NumberField.InfinitePlace K → NumberField.InfinitePlace L → ℕ

The inertia degree of w over v.

Defined in: Mathlib.NumberTheory.NumberField.Completion.Ramification
Cited by: 5 results in Mathlib
Foundations: Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra

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Cites7

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
Bot.botproof · cited by 4,720
NumberField.InfinitePlacestatement and proof · cited by 604
NumberField.InfinitePlace.Completionproof · cited by 69
Ideal.inertiaDegproof · cited by 60
NumberField.InfinitePlace.LiesOverproof · cited by 25

Cited by5

Results whose statement or proof uses this declaration.

NumberField.InfinitePlace.inertiaDeg_eq_finrankstatement · cited by 2
NumberField.InfinitePlace.inertiaDeg_eq_onestatement · cited by 1
NumberField.InfinitePlace.inertiaDeg_eq_twostatement · cited by 1
NumberField.InfinitePlace.inertiaDeg_of_liesOverstatement · cited by 1
NumberField.InfinitePlace.sum_inertiaDeg_eq_finrankstatement and proof · cited by 0